320521136364 has 432 divisors, whose sum is σ = 1022019494496. Its totient is φ = 83474841600.

The previous prime is 320521136359. The next prime is 320521136417. The reversal of 320521136364 is 463631125023.

320521136364 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 2 + 1 + 13 + 636 + 4 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144312774 + ... + 144314994.

Almost surely, 2^320521136364 is an apocalyptic number.

320521136364 is a gapful number since it is divisible by the number (34) 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 320521136364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511009747248).

320521136364 is an abundant number, since it is smaller than the sum of its proper divisors (701498358132).

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

320521136364 is a wasteful number, since it uses less digits than its factorization.

320521136364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 320521136364 in words is "three hundred twenty billion, five hundred twenty-one million, one hundred thirty-six thousand, three hundred sixty-four".