320889907242432 has 168 divisors, whose sum is σ = 1022320569619440. Its totient is φ = 95404660715520.

The previous prime is 320889907242409. The next prime is 320889907242473. The reversal of 320889907242432 is 234242709988023.

320889907242432 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 8 + 9 + 90 + 72 + 42 + 432 = 666.

It is a super-2 number, since 2×320889907242432² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320889907242432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477451957 + ... + 478123572.

It is an arithmetic number, because the mean of its divisors is an integer number (6085241485830).

Almost surely, 2^{320889907242432} is an apocalyptic number.

320889907242432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320889907242432 is an abundant number, since it is smaller than the sum of its proper divisors (701430662377008).

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

320889907242432 is a wasteful number, since it uses less digits than its factorization.

320889907242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955575611 (or 955575598 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 320889907242432 in words is "three hundred twenty trillion, eight hundred eighty-nine billion, nine hundred seven million, two hundred forty-two thousand, four hundred thirty-two".