90466320672 has 144 divisors (see below), whose sum is σ = 316632214080. Its totient is φ = 23859242496.

The previous prime is 90466320653. The next prime is 90466320673. The reversal of 90466320672 is 27602366409.

90466320672 is a `hidden beast` number, since 9 + 0 + 4 + 6 + 632 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (90466320673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699722 + ... + 1752137.

It is an arithmetic number, because the mean of its divisors is an integer number (2198834820).

Almost surely, 2^90466320672 is an apocalyptic number.

It is an amenable number.

90466320672 is an abundant number, since it is smaller than the sum of its proper divisors (226165893408).

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

90466320672 is a wasteful number, since it uses less digits than its factorization.

90466320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451895 (or 3451884 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 90466320672 in words is "ninety billion, four hundred sixty-six million, three hundred twenty thousand, six hundred seventy-two".