725622994656 has 1440 divisors, whose sum is σ = 2796109569792. Its totient is φ = 183100538880.

The previous prime is 725622994643. The next prime is 725622994769. The reversal of 725622994656 is 656499226527.

It is a happy number.

725622994656 is a `hidden beast` number, since 7 + 2 + 562 + 2 + 9 + 9 + 4 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 725622994593 and 725622994602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2476528846 + ... + 2476529138.

Almost surely, 2^725622994656 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 725622994656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398054784896).

725622994656 is an abundant number, since it is smaller than the sum of its proper divisors (2070486575136).

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

725622994656 is a wasteful number, since it uses less digits than its factorization.

725622994656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 725622994656 in words is "seven hundred twenty-five billion, six hundred twenty-two million, nine hundred ninety-four thousand, six hundred fifty-six".