325661656320 has 1728 divisors, whose sum is σ = 1563362131968. Its totient is φ = 60383232000.

The previous prime is 325661656301. The next prime is 325661656367. The reversal of 325661656320 is 23656166523.

325661656320 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 6 + 1 + 6 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 357476665 + ... + 357477575.

It is an arithmetic number, because the mean of its divisors is an integer number (904723456).

Almost surely, 2^325661656320 is an apocalyptic number.

325661656320 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 325661656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781681065984).

325661656320 is an abundant number, since it is smaller than the sum of its proper divisors (1237700475648).

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

325661656320 is a wasteful number, since it uses less digits than its factorization.

325661656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 325661656320 in words is "three hundred twenty-five billion, six hundred sixty-one million, six hundred fifty-six thousand, three hundred twenty".