64764802972800 has 1920 divisors, whose sum is σ = 281726687088000. Its totient is φ = 14342941900800.

The previous prime is 64764802972799. The next prime is 64764802972819. The reversal of 64764802972800 is 827920846746.

64764802972800 is a `hidden beast` number, since 6 + 4 + 7 + 6 + 480 + 2 + 9 + 72 + 80 + 0 = 666.

64764802972800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11084166679 + ... + 11084172521.

It is an arithmetic number, because the mean of its divisors is an integer number (146732649525).

Almost surely, 2^{64764802972800} is an apocalyptic number.

64764802972800 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 64764802972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140863343544000).

64764802972800 is an abundant number, since it is smaller than the sum of its proper divisors (216961884115200).

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

64764802972800 is a wasteful number, since it uses less digits than its factorization.

64764802972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 64764802972800 in words is "sixty-four trillion, seven hundred sixty-four billion, eight hundred two million, nine hundred seventy-two thousand, eight hundred".