725714057664 has 224 divisors, whose sum is σ = 2147570081280. Its totient is φ = 240310425600.

The previous prime is 725714057659. The next prime is 725714057693. The reversal of 725714057664 is 466750417527.

725714057664 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 1 + 4 + 0 + 576 + 64 = 666.

It is a super-2 number, since 2×725714057664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 725714057664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197686549 + ... + 197690219.

Almost surely, 2^725714057664 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 725714057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073785040640).

725714057664 is an abundant number, since it is smaller than the sum of its proper divisors (1421856023616).

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

725714057664 is a wasteful number, since it uses less digits than its factorization.

725714057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 725714057664 in words is "seven hundred twenty-five billion, seven hundred fourteen million, fifty-seven thousand, six hundred sixty-four".