325749936960 has 672 divisors, whose sum is σ = 1332431493120. Its totient is φ = 74205186048.

The previous prime is 325749936959. The next prime is 325749936971. The reversal of 325749936960 is 69639947523.

325749936960 is a `hidden beast` number, since 3 + 2 + 57 + 499 + 3 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×325749936960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195410047 + ... + 195411713.

It is an arithmetic number, because the mean of its divisors is an integer number (1982784960).

Almost surely, 2^325749936960 is an apocalyptic number.

325749936960 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 325749936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666215746560).

325749936960 is an abundant number, since it is smaller than the sum of its proper divisors (1006681556160).

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

325749936960 is a wasteful number, since it uses less digits than its factorization.

325749936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 325749936960 in words is "three hundred twenty-five billion, seven hundred forty-nine million, nine hundred thirty-six thousand, nine hundred sixty".