6344020624656 has 320 divisors, whose sum is σ = 19760507746560. Its totient is φ = 1728347013120.

The previous prime is 6344020624639. The next prime is 6344020624679. The reversal of 6344020624656 is 6564260204436.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49775860 + ... + 49903148.

It is an arithmetic number, because the mean of its divisors is an integer number (61751586708).

Almost surely, 2^{6344020624656} is an apocalyptic number.

6344020624656 is a gapful number since it is divisible by the number (66) 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 6344020624656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880253873280).

6344020624656 is an abundant number, since it is smaller than the sum of its proper divisors (13416487121904).

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

6344020624656 is a wasteful number, since it uses less digits than its factorization.

6344020624656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127514 (or 127508 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 6344020624656 in words is "six trillion, three hundred forty-four billion, twenty million, six hundred twenty-four thousand, six hundred fifty-six".