325638668160 has 768 divisors, whose sum is σ = 1237231195200. Its totient is φ = 78440693760.

The previous prime is 325638668137. The next prime is 325638668167. The reversal of 325638668160 is 61866836523.

It is a happy number.

325638668160 is a `hidden beast` number, since 3 + 2 + 563 + 8 + 6 + 68 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 325638668097 and 325638668106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325638668167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873025734 + ... + 873026106.

Almost surely, 2^325638668160 is an apocalyptic number.

325638668160 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 325638668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618615597600).

325638668160 is an abundant number, since it is smaller than the sum of its proper divisors (911592527040).

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

325638668160 is a wasteful number, since it uses less digits than its factorization.

325638668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 325638668160 in words is "three hundred twenty-five billion, six hundred thirty-eight million, six hundred sixty-eight thousand, one hundred sixty".