325993973760 has 1440 divisors, whose sum is σ = 1466161777080. Its totient is φ = 68669669376.

The previous prime is 325993973737. The next prime is 325993973783. The reversal of 325993973760 is 67379399523.

325993973760 is a `hidden beast` number, since 3 + 2 + 599 + 3 + 9 + 7 + 37 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (325993973737) and next prime (325993973783).

It can be written as a sum of positive squares in 4 ways, for example, as 105349579776 + 220644393984 = 324576^2 + 469728^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 528352972 + ... + 528353588.

Almost surely, 2^325993973760 is an apocalyptic number.

325993973760 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 325993973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733080888540).

325993973760 is an abundant number, since it is smaller than the sum of its proper divisors (1140167803320).

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

325993973760 is a wasteful number, since it uses less digits than its factorization.

325993973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 57868020, while the sum is 63.

The spelling of 325993973760 in words is "three hundred twenty-five billion, nine hundred ninety-three million, nine hundred seventy-three thousand, seven hundred sixty".