325557329416704 has 1920 divisors, whose sum is σ = 1232352324403200. Its totient is φ = 80297966960640.

The previous prime is 325557329416639. The next prime is 325557329416723. The reversal of 325557329416704 is 407614923755523.

325557329416704 is a `hidden beast` number, since 3 + 2 + 5 + 557 + 3 + 2 + 9 + 4 + 1 + 6 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92304316189 + ... + 92304319715.

It is an arithmetic number, because the mean of its divisors is an integer number (641850168960).

Almost surely, 2^{325557329416704} 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 325557329416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616176162201600).

325557329416704 is an abundant number, since it is smaller than the sum of its proper divisors (906794994986496).

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

325557329416704 is a wasteful number, since it uses less digits than its factorization.

325557329416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 325557329416704 in words is "three hundred twenty-five trillion, five hundred fifty-seven billion, three hundred twenty-nine million, four hundred sixteen thousand, seven hundred four".