90222672960 has 756 divisors, whose sum is σ = 375287046732. Its totient is φ = 20598810624.

The previous prime is 90222672931. The next prime is 90222672979. The reversal of 90222672960 is 6927622209.

It can be written as a sum of positive squares in 2 ways, for example, as 55635600384 + 34587072576 = 235872^2 + 185976^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 102876042 + ... + 102876918.

Almost surely, 2^90222672960 is an apocalyptic number.

90222672960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90222672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187643523366).

90222672960 is an abundant number, since it is smaller than the sum of its proper divisors (285064373772).

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

90222672960 is an frugal number, since it uses more digits than its factorization.

90222672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90222672960 in words is "ninety billion, two hundred twenty-two million, six hundred seventy-two thousand, nine hundred sixty".