725807121264 has 200 divisors, whose sum is σ = 2169496778240. Its totient is φ = 234019497600.

The previous prime is 725807121239. The next prime is 725807121287. The reversal of 725807121264 is 462121708527.

725807121264 is a `hidden beast` number, since 7 + 2 + 580 + 7 + 1 + 2 + 1 + 2 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143465967 + ... + 143471025.

Almost surely, 2^725807121264 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 725807121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084748389120).

725807121264 is an abundant number, since it is smaller than the sum of its proper divisors (1443689656976).

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

725807121264 is a wasteful number, since it uses less digits than its factorization.

725807121264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8681 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 725807121264 in words is "seven hundred twenty-five billion, eight hundred seven million, one hundred twenty-one thousand, two hundred sixty-four".