322637890609728 has 784 divisors, whose sum is σ = 1008490121395200. Its totient is φ = 102169727447040.

The previous prime is 322637890609681. The next prime is 322637890609753. The reversal of 322637890609728 is 827906098736223.

It is a happy number.

322637890609728 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 3 + 7 + 8 + 9 + 0 + 609 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×322637890609728² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 117708094438 + ... + 117708097178.

Almost surely, 2^{322637890609728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322637890609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504245060697600).

322637890609728 is an abundant number, since it is smaller than the sum of its proper divisors (685852230785472).

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

322637890609728 is a wasteful number, since it uses less digits than its factorization.

322637890609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 322637890609728 in words is "three hundred twenty-two trillion, six hundred thirty-seven billion, eight hundred ninety million, six hundred nine thousand, seven hundred twenty-eight".