725767408285920 has 4608 divisors, whose sum is σ = 3527491075670016. Its totient is φ = 136040833843200.

The previous prime is 725767408285873. The next prime is 725767408285943. The reversal of 725767408285920 is 29582804767527.

725767408285920 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 6 + 7 + 4 + 0 + 8 + 28 + 592 + 0 = 666.

It is a super-2 number, since 2×725767408285920² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 682753911309 + ... + 682753912371.

It is an arithmetic number, because the mean of its divisors is an integer number (765514556352).

Almost surely, 2^{725767408285920} is an apocalyptic number.

725767408285920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725767408285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763745537835008).

725767408285920 is an abundant number, since it is smaller than the sum of its proper divisors (2801723667384096).

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

725767408285920 is a wasteful number, since it uses less digits than its factorization.

725767408285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 725767408285920 in words is "seven hundred twenty-five trillion, seven hundred sixty-seven billion, four hundred eight million, two hundred eighty-five thousand, nine hundred twenty".