322076486172672 has 5760 divisors, whose sum is σ = 1398725322271200. Its totient is φ = 72772013260800.

The previous prime is 322076486172569. The next prime is 322076486172709. The reversal of 322076486172672 is 276271684670223.

322076486172672 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 7 + 6 + 4 + 8 + 617 + 2 + 6 + 7 + 2 = 666.

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 359 ways as a sum of consecutive naturals, for example, 7855524052972 + ... + 7855524053012.

Almost surely, 2^{322076486172672} is an apocalyptic number.

322076486172672 is a gapful number since it is divisible by the number (32) 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 322076486172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699362661135600).

322076486172672 is an abundant number, since it is smaller than the sum of its proper divisors (1076648836098528).

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

322076486172672 is a wasteful number, since it uses less digits than its factorization.

322076486172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 322076486172672 in words is "three hundred twenty-two trillion, seventy-six billion, four hundred eighty-six million, one hundred seventy-two thousand, six hundred seventy-two".