325688313600 has 324 divisors, whose sum is σ = 1253982050776. Its totient is φ = 80169246720.

The previous prime is 325688313583. The next prime is 325688313619. The reversal of 325688313600 is 6313886523.

325688313600 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 8 + 8 + 31 + 3 + 600 = 666.

It is a super-2 number, since 2×325688313600² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 531327 + ... + 966273.

Almost surely, 2^325688313600 is an apocalyptic number.

325688313600 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 325688313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626991025388).

325688313600 is an abundant number, since it is smaller than the sum of its proper divisors (928293737176).

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

325688313600 is a wasteful number, since it uses less digits than its factorization.

325688313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434992 (or 434970 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 325688313600 in words is "three hundred twenty-five billion, six hundred eighty-eight million, three hundred thirteen thousand, six hundred".