89432792064 has 1320 divisors, whose sum is σ = 358412996480. Its totient is φ = 21678243840.

The previous prime is 89432792023. The next prime is 89432792101. The reversal of 89432792064 is 46029723498.

89432792064 is a `hidden beast` number, since 89 + 432 + 79 + 2 + 0 + 64 = 666.

It is a super-2 number, since 2×89432792064² (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 a self number, because there is not a number n which added to its sum of digits gives 89432792064.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1334817759 + ... + 1334817825.

Almost surely, 2^89432792064 is an apocalyptic number.

89432792064 is a gapful number since it is divisible by the number (84) 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 89432792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179206498240).

89432792064 is an abundant number, since it is smaller than the sum of its proper divisors (268980204416).

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

89432792064 is a wasteful number, since it uses less digits than its factorization.

89432792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 89432792064 in words is "eighty-nine billion, four hundred thirty-two million, seven hundred ninety-two thousand, sixty-four".