644950020104496 has 320 divisors, whose sum is σ = 1879652136230400. Its totient is φ = 214346849633280.

The previous prime is 644950020104441. The next prime is 644950020104497. The reversal of 644950020104496 is 694401020059446.

644950020104496 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 500 + 2 + 0 + 1 + 0 + 44 + 96 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (644950020104497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56244000555 + ... + 56244012021.

It is an arithmetic number, because the mean of its divisors is an integer number (5873912925720).

Almost surely, 2^{644950020104496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644950020104496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939826068115200).

644950020104496 is an abundant number, since it is smaller than the sum of its proper divisors (1234702116125904).

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

644950020104496 is a wasteful number, since it uses less digits than its factorization.

644950020104496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16116 (or 16092 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 644950020104496 in words is "six hundred forty-four trillion, nine hundred fifty billion, twenty million, one hundred four thousand, four hundred ninety-six".