715400640 has 224 divisors, whose sum is σ = 2606161920. Its totient is φ = 184550400.

The previous prime is 715400639. The next prime is 715400641. The reversal of 715400640 is 46004517.

715400640 is a `hidden beast` number, since 7 + 15 + 4 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (715400639) and next prime (715400641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715400641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266505 + ... + 269175.

Almost surely, 2^715400640 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 715400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303080960).

715400640 is an abundant number, since it is smaller than the sum of its proper divisors (1890761280).

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

715400640 is a wasteful number, since it uses less digits than its factorization.

715400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 715400640 is about 26746.9744083326. The cubic root of 715400640 is about 894.3683901344.

The spelling of 715400640 in words is "seven hundred fifteen million, four hundred thousand, six hundred forty".