64621380994560 has 1280 divisors, whose sum is σ = 252299459301120. Its totient is φ = 15579563950080.

The previous prime is 64621380994549. The next prime is 64621380994601. The reversal of 64621380994560 is 6549908312646.

64621380994560 is a `hidden beast` number, since 6 + 4 + 6 + 2 + 13 + 80 + 99 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47480808280 + ... + 47480809640.

It is an arithmetic number, because the mean of its divisors is an integer number (197108952579).

Almost surely, 2^{64621380994560} is an apocalyptic number.

64621380994560 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 64621380994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126149729650560).

64621380994560 is an abundant number, since it is smaller than the sum of its proper divisors (187678078306560).

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

64621380994560 is a wasteful number, since it uses less digits than its factorization.

64621380994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 64621380994560 in words is "sixty-four trillion, six hundred twenty-one billion, three hundred eighty million, nine hundred ninety-four thousand, five hundred sixty".