90097877664 has 96 divisors (see below), whose sum is σ = 262957968000. Its totient is φ = 30012913152.

The previous prime is 90097877657. The next prime is 90097877689. The reversal of 90097877664 is 46677879009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×90097877664² (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1313532 + ... + 1380420.

It is an arithmetic number, because the mean of its divisors is an integer number (2739145500).

Almost surely, 2^90097877664 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 90097877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131478984000).

90097877664 is an abundant number, since it is smaller than the sum of its proper divisors (172860090336).

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

90097877664 is a wasteful number, since it uses less digits than its factorization.

90097877664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68467 (or 68453 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 90097877664 in words is "ninety billion, ninety-seven million, eight hundred seventy-seven thousand, six hundred sixty-four".