325577064960 has 480 divisors, whose sum is σ = 1290732423552. Its totient is φ = 74297180160.

The previous prime is 325577064959. The next prime is 325577064971. The reversal of 325577064960 is 69460775523.

325577064960 is a `hidden beast` number, since 3 + 2 + 5 + 577 + 0 + 6 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 325577064897 and 325577064906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133377340 + ... + 133379780.

Almost surely, 2^325577064960 is an apocalyptic number.

325577064960 is a gapful number since it is divisible by the number (30) 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 325577064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645366211776).

325577064960 is an abundant number, since it is smaller than the sum of its proper divisors (965155358592).

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

325577064960 is a wasteful number, since it uses less digits than its factorization.

325577064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 325577064960 in words is "three hundred twenty-five billion, five hundred seventy-seven million, sixty-four thousand, nine hundred sixty".