325274832000 has 1024 divisors, whose sum is σ = 1316749824000. Its totient is φ = 78556262400.

The previous prime is 325274831983. The next prime is 325274832031. The reversal of 325274832000 is 238472523.

325274832000 is a `hidden beast` number, since 32 + 527 + 4 + 83 + 20 + 0 + 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 127 ways as a sum of consecutive naturals, for example, 188783139 + ... + 188784861.

It is an arithmetic number, because the mean of its divisors is an integer number (1285888500).

Almost surely, 2^325274832000 is an apocalyptic number.

325274832000 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 325274832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658374912000).

325274832000 is an abundant number, since it is smaller than the sum of its proper divisors (991474992000).

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

325274832000 is a wasteful number, since it uses less digits than its factorization.

325274832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 325274832000 in words is "three hundred twenty-five billion, two hundred seventy-four million, eight hundred thirty-two thousand".