325616163840 has 880 divisors, whose sum is σ = 1284651412704. Its totient is φ = 78210662400.

The previous prime is 325616163811. The next prime is 325616163853. The reversal of 325616163840 is 48361616523.

325616163840 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 1 + 6 + 1 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-3 number, since 3×325616163840³ (a number of 36 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 624982780 + ... + 624983300.

Almost surely, 2^325616163840 is an apocalyptic number.

325616163840 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 325616163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642325706352).

325616163840 is an abundant number, since it is smaller than the sum of its proper divisors (959035248864).

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

325616163840 is a wasteful number, since it uses less digits than its factorization.

325616163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 679 counting only the distinct ones).

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

The spelling of 325616163840 in words is "three hundred twenty-five billion, six hundred sixteen million, one hundred sixty-three thousand, eight hundred forty".