64507090032 has 240 divisors, whose sum is σ = 232338462720. Its totient is φ = 16214515200.

The previous prime is 64507090027. The next prime is 64507090033. The reversal of 64507090032 is 23009070546.

64507090032 is a `hidden beast` number, since 64 + 507 + 0 + 90 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×64507090032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64507090033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249894 + ... + 437562.

It is an arithmetic number, because the mean of its divisors is an integer number (968076928).

Almost surely, 2^64507090032 is an apocalyptic number.

64507090032 is a gapful number since it is divisible by the number (62) 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 64507090032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116169231360).

64507090032 is an abundant number, since it is smaller than the sum of its proper divisors (167831372688).

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

64507090032 is a wasteful number, since it uses less digits than its factorization.

64507090032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187732 (or 187723 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 64507090032 in words is "sixty-four billion, five hundred seven million, ninety thousand, thirty-two".