715472640 has 216 divisors, whose sum is σ = 2496705120. Its totient is φ = 189161472.

The previous prime is 715472633. The next prime is 715472701. The reversal of 715472640 is 46274517.

715472640 is a `hidden beast` number, since 7 + 1 + 5 + 4 + 7 + 2 + 640 = 666.

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 = 715472595 and 715472604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1992781 + ... + 1993139.

It is an arithmetic number, because the mean of its divisors is an integer number (11558820).

Almost surely, 2^715472640 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 715472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248352560).

715472640 is an abundant number, since it is smaller than the sum of its proper divisors (1781232480).

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

715472640 is a wasteful number, since it uses less digits than its factorization.

715472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 715472640 is about 26748.3203210968. The cubic root of 715472640 is about 894.3983930727.

The spelling of 715472640 in words is "seven hundred fifteen million, four hundred seventy-two thousand, six hundred forty".