90075312432 has 120 divisors (see below), whose sum is σ = 288741117600. Its totient is φ = 25678356480.

The previous prime is 90075312407. The next prime is 90075312433. The reversal of 90075312432 is 23421357009.

90075312432 is a `hidden beast` number, since 90 + 0 + 7 + 531 + 2 + 4 + 32 = 666.

It is a super-2 number, since 2×90075312432² (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 not an unprimeable number, because it can be changed into a prime (90075312433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353082 + ... + 552102.

It is an arithmetic number, because the mean of its divisors is an integer number (2406175980).

Almost surely, 2^90075312432 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 90075312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144370558800).

90075312432 is an abundant number, since it is smaller than the sum of its proper divisors (198665805168).

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

90075312432 is a wasteful number, since it uses less digits than its factorization.

90075312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199491 (or 199482 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 90075312432 in words is "ninety billion, seventy-five million, three hundred twelve thousand, four hundred thirty-two".