64879563600 has 120 divisors (see below), whose sum is σ = 230923225920. Its totient is φ = 17301214080.

The previous prime is 64879563571. The next prime is 64879563611. The reversal of 64879563600 is 636597846.

64879563600 is a `hidden beast` number, since 6 + 4 + 8 + 79 + 563 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2992884 + ... + 3014483.

It is an arithmetic number, because the mean of its divisors is an integer number (1924360216).

Almost surely, 2^64879563600 is an apocalyptic number.

64879563600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64879563600 is an abundant number, since it is smaller than the sum of its proper divisors (166043662320).

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

64879563600 is a wasteful number, since it uses less digits than its factorization.

64879563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007394 (or 6007377 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 64879563600 in words is "sixty-four billion, eight hundred seventy-nine million, five hundred sixty-three thousand, six hundred".