325765753344 has 480 divisors, whose sum is σ = 1003795752960. Its totient is φ = 105429123072.

The previous prime is 325765753321. The next prime is 325765753381. The reversal of 325765753344 is 443357567523.

325765753344 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 65 + 7 + 533 + 44 = 666.

It is a super-2 number, since 2×325765753344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 837443902 + ... + 837444290.

It is an arithmetic number, because the mean of its divisors is an integer number (2091241152).

Almost surely, 2^325765753344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325765753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501897876480).

325765753344 is an abundant number, since it is smaller than the sum of its proper divisors (678029999616).

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

325765753344 is an equidigital number, since it uses as much as digits as its factorization.

325765753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 574 counting only the distinct ones).

The product of its digits is 31752000, while the sum is 54.

The spelling of 325765753344 in words is "three hundred twenty-five billion, seven hundred sixty-five million, seven hundred fifty-three thousand, three hundred forty-four".