715508951040 has 1344 divisors, whose sum is σ = 2837822616720. Its totient is φ = 171992678400.

The previous prime is 715508951029. The next prime is 715508951051. The reversal of 715508951040 is 40159805517.

715508951040 is a `hidden beast` number, since 7 + 1 + 5 + 50 + 89 + 510 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (715508951029) and next prime (715508951051).

It can be written as a sum of positive squares in 8 ways, for example, as 401084089344 + 314424861696 = 633312^2 + 560736^2 .

It is a super-2 number, since 2×715508951040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7084246990 + ... + 7084247090.

Almost surely, 2^715508951040 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 715508951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418911308360).

715508951040 is an abundant number, since it is smaller than the sum of its proper divisors (2122313665680).

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

715508951040 is a wasteful number, since it uses less digits than its factorization.

715508951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 715508951040 in words is "seven hundred fifteen billion, five hundred eight million, nine hundred fifty-one thousand, forty".