64000645632 has 480 divisors, whose sum is σ = 234142406784. Its totient is φ = 16345497600.

The previous prime is 64000645591. The next prime is 64000645651. The reversal of 64000645632 is 23654600046.

64000645632 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 0 + 645 + 6 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21642298 + ... + 21645254.

Almost surely, 2^64000645632 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 64000645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117071203392).

64000645632 is an abundant number, since it is smaller than the sum of its proper divisors (170141761152).

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

64000645632 is a wasteful number, since it uses less digits than its factorization.

64000645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 64000645632 in words is "sixty-four billion, six hundred forty-five thousand, six hundred thirty-two".