725273879904 has 384 divisors, whose sum is σ = 2461003776000. Its totient is φ = 203532134400.

The previous prime is 725273879881. The next prime is 725273879923. The reversal of 725273879904 is 409978372527.

725273879904 is a `hidden beast` number, since 7 + 2 + 527 + 38 + 79 + 9 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77573022 + ... + 77582370.

It is an arithmetic number, because the mean of its divisors is an integer number (6408864000).

Almost surely, 2^725273879904 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 725273879904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230501888000).

725273879904 is an abundant number, since it is smaller than the sum of its proper divisors (1735729896096).

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

725273879904 is a wasteful number, since it uses less digits than its factorization.

725273879904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9603 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 725273879904 in words is "seven hundred twenty-five billion, two hundred seventy-three million, eight hundred seventy-nine thousand, nine hundred four".