6344664986880 has 864 divisors, whose sum is σ = 24940511511552. Its totient is φ = 1475208806400.

The previous prime is 6344664986749. The next prime is 6344664986929. The reversal of 6344664986880 is 886894664436.

6344664986880 is a `hidden beast` number, since 6 + 3 + 4 + 466 + 4 + 9 + 86 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6344664986799 and 6344664986808.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 443893014 + ... + 443907306.

It is an arithmetic number, because the mean of its divisors is an integer number (28866332768).

Almost surely, 2^{6344664986880} is an apocalyptic number.

6344664986880 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 6344664986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470255755776).

6344664986880 is an abundant number, since it is smaller than the sum of its proper divisors (18595846524672).

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

6344664986880 is a wasteful number, since it uses less digits than its factorization.

6344664986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14458 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 6344664986880 in words is "six trillion, three hundred forty-four billion, six hundred sixty-four million, nine hundred eighty-six thousand, eight hundred eighty".