725847961400928 has 192 divisors, whose sum is σ = 2132487750435840. Its totient is φ = 240187876992000.

The previous prime is 725847961400909. The next prime is 725847961400953. The reversal of 725847961400928 is 829004169748527.

It is a happy number.

725847961400928 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 4 + 79 + 61 + 400 + 92 + 8 = 666.

It is a super-2 number, since 2×725847961400928² (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 31 ways as a sum of consecutive naturals, for example, 195290076 + ... + 198972132.

It is an arithmetic number, because the mean of its divisors is an integer number (11106707033520).

Almost surely, 2^{725847961400928} 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 725847961400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066243875217920).

725847961400928 is an abundant number, since it is smaller than the sum of its proper divisors (1406639789034912).

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

725847961400928 is a wasteful number, since it uses less digits than its factorization.

725847961400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683738 (or 3683724 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 725847961400928 in words is "seven hundred twenty-five trillion, eight hundred forty-seven billion, nine hundred sixty-one million, four hundred thousand, nine hundred twenty-eight".