64922953261824 has 2016 divisors, whose sum is σ = 243469558886400. Its totient is φ = 16857163653120.

The previous prime is 64922953261799. The next prime is 64922953261879. The reversal of 64922953261824 is 42816235922946.

64922953261824 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 2 + 9 + 5 + 3 + 2 + 618 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×64922953261824² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 62970856189 + ... + 62970857219.

It is an arithmetic number, because the mean of its divisors is an integer number (120768630400).

Almost surely, 2^{64922953261824} is an apocalyptic number.

64922953261824 is a gapful number since it is divisible by the number (64) 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 64922953261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121734779443200).

64922953261824 is an abundant number, since it is smaller than the sum of its proper divisors (178546605624576).

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

64922953261824 is a wasteful number, since it uses less digits than its factorization.

64922953261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1164 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 64922953261824 in words is "sixty-four trillion, nine hundred twenty-two billion, nine hundred fifty-three million, two hundred sixty-one thousand, eight hundred twenty-four".