325265681664 has 1728 divisors, whose sum is σ = 1322392780800. Its totient is φ = 75866112000.

The previous prime is 325265681641. The next prime is 325265681683. The reversal of 325265681664 is 466186562523.

325265681664 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 6 + 568 + 16 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 325265681664.

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, 4581206749 + ... + 4581206819.

It is an arithmetic number, because the mean of its divisors is an integer number (765273600).

Almost surely, 2^325265681664 is an apocalyptic number.

325265681664 is a gapful number since it is divisible by the number (34) 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 325265681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661196390400).

325265681664 is an abundant number, since it is smaller than the sum of its proper divisors (997127099136).

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

325265681664 is a wasteful number, since it uses less digits than its factorization.

325265681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 325265681664 in words is "three hundred twenty-five billion, two hundred sixty-five million, six hundred eighty-one thousand, six hundred sixty-four".