90627876864 has 384 divisors, whose sum is σ = 322987392000. Its totient is φ = 24528863232.

The previous prime is 90627876851. The next prime is 90627876901. The reversal of 90627876864 is 46867872609.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7348207 + ... + 7360529.

It is an arithmetic number, because the mean of its divisors is an integer number (841113000).

Almost surely, 2^90627876864 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 90627876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161493696000).

90627876864 is an abundant number, since it is smaller than the sum of its proper divisors (232359515136).

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

90627876864 is a wasteful number, since it uses less digits than its factorization.

90627876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12354 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 90627876864 in words is "ninety billion, six hundred twenty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".