90065434320 has 120 divisors (see below), whose sum is σ = 302529839976. Its totient is φ = 24012678144.

The previous prime is 90065434307. The next prime is 90065434343. The reversal of 90065434320 is 2343456009.

90065434320 is a `hidden beast` number, since 90 + 0 + 6 + 543 + 4 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37982891664 + 52082542656 = 194892^2 + 228216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×90065434320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5040442 + ... + 5058278.

Almost surely, 2^90065434320 is an apocalyptic number.

90065434320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90065434320 is an abundant number, since it is smaller than the sum of its proper divisors (212464405656).

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

90065434320 is a wasteful number, since it uses less digits than its factorization.

90065434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24869 (or 24860 counting only the distinct ones).

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

The spelling of 90065434320 in words is "ninety billion, sixty-five million, four hundred thirty-four thousand, three hundred twenty".