90611868672 has 704 divisors, whose sum is σ = 307360488960. Its totient is φ = 26159874048.

The previous prime is 90611868667. The next prime is 90611868689. The reversal of 90611868672 is 27686811609.

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

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 63 ways as a sum of consecutive naturals, for example, 801874888 + ... + 801875000.

Almost surely, 2^90611868672 is an apocalyptic number.

90611868672 is a gapful number since it is divisible by the number (92) 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 90611868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153680244480).

90611868672 is an abundant number, since it is smaller than the sum of its proper divisors (216748620288).

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

90611868672 is a wasteful number, since it uses less digits than its factorization.

90611868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 90611868672 in words is "ninety billion, six hundred eleven million, eight hundred sixty-eight thousand, six hundred seventy-two".