90327736512 has 504 divisors, whose sum is σ = 297588919680. Its totient is φ = 26137313280.

The previous prime is 90327736489. The next prime is 90327736529. The reversal of 90327736512 is 21563772309.

90327736512 is a `hidden beast` number, since 9 + 0 + 3 + 277 + 365 + 12 = 666.

It is a super-2 number, since 2×90327736512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111653164 + ... + 111653972.

Almost surely, 2^90327736512 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 90327736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148794459840).

90327736512 is an abundant number, since it is smaller than the sum of its proper divisors (207261183168).

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

90327736512 is a wasteful number, since it uses less digits than its factorization.

90327736512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 90327736512 in words is "ninety billion, three hundred twenty-seven million, seven hundred thirty-six thousand, five hundred twelve".