325414310760 has 1024 divisors, whose sum is σ = 1438049894400. Its totient is φ = 63369216000.

The previous prime is 325414310759. The next prime is 325414310779. The reversal of 325414310760 is 67013414523.

325414310760 is a `hidden beast` number, since 3 + 2 + 541 + 4 + 3 + 107 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 541454460 + ... + 541455060.

It is an arithmetic number, because the mean of its divisors is an integer number (1404345600).

Almost surely, 2^325414310760 is an apocalyptic number.

325414310760 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 325414310760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719024947200).

325414310760 is an abundant number, since it is smaller than the sum of its proper divisors (1112635583640).

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

325414310760 is a wasteful number, since it uses less digits than its factorization.

325414310760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 325414310760 in words is "three hundred twenty-five billion, four hundred fourteen million, three hundred ten thousand, seven hundred sixty".