64632808800 has 432 divisors, whose sum is σ = 263069849952. Its totient is φ = 14625792000.

The previous prime is 64632808789. The next prime is 64632808843. The reversal of 64632808800 is 880823646.

It is a happy number.

64632808800 is a `hidden beast` number, since 6 + 4 + 632 + 8 + 0 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5084052 + ... + 5096748.

It is an arithmetic number, because the mean of its divisors is an integer number (608957986).

Almost surely, 2^64632808800 is an apocalyptic number.

64632808800 is a gapful number since it is divisible by the number (60) 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 64632808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131534924976).

64632808800 is an abundant number, since it is smaller than the sum of its proper divisors (198437041152).

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

64632808800 is a wasteful number, since it uses less digits than its factorization.

64632808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831 (or 12815 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 64632808800 in words is "sixty-four billion, six hundred thirty-two million, eight hundred eight thousand, eight hundred".