90076686336 has 1152 divisors, whose sum is σ = 353949523200. Its totient is φ = 22359048192.

The previous prime is 90076686317. The next prime is 90076686347. The reversal of 90076686336 is 63368667009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×90076686336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5298628600 + ... + 5298628616.

It is an arithmetic number, because the mean of its divisors is an integer number (307247850).

Almost surely, 2^90076686336 is an apocalyptic number.

90076686336 is a gapful number since it is divisible by the number (96) 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 90076686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176974761600).

90076686336 is an abundant number, since it is smaller than the sum of its proper divisors (263872836864).

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

90076686336 is an equidigital number, since it uses as much as digits as its factorization.

90076686336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 90076686336 in words is "ninety billion, seventy-six million, six hundred eighty-six thousand, three hundred thirty-six".