715508640 has 576 divisors, whose sum is σ = 3170119680. Its totient is φ = 148055040.

The previous prime is 715508623. The next prime is 715508653. The reversal of 715508640 is 46805517.

715508640 is a `hidden beast` number, since 7 + 1 + 5 + 5 + 0 + 8 + 640 = 666.

It is a super-2 number, since 2×715508640² = 1023905227829299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 715508595 and 715508604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993641 + ... + 2993879.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^715508640 is an apocalyptic number.

715508640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

715508640 is an abundant number, since it is smaller than the sum of its proper divisors (2454611040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

715508640 is a wasteful number, since it uses less digits than its factorization.

715508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 715508640 is about 26748.9932520833. The cubic root of 715508640 is about 894.4133937871.

The spelling of 715508640 in words is "seven hundred fifteen million, five hundred eight thousand, six hundred forty".