715328640 has 384 divisors, whose sum is σ = 2736704880. Its totient is φ = 171048960.

The previous prime is 715328623. The next prime is 715328641. The reversal of 715328640 is 46823517.

715328640 is a `hidden beast` number, since 7 + 1 + 5 + 3 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4359744 + 710968896 = 2088^2 + 26664^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 = 715328595 and 715328604.

It is not an unprimeable number, because it can be changed into a prime (715328641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3069964 + ... + 3070196.

Almost surely, 2^715328640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368352440).

715328640 is an abundant number, since it is smaller than the sum of its proper divisors (2021376240).

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

715328640 is a wasteful number, since it uses less digits than its factorization.

715328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 715328640 is about 26745.6284278384. The cubic root of 715328640 is about 894.3383851829.

The spelling of 715328640 in words is "seven hundred fifteen million, three hundred twenty-eight thousand, six hundred forty".