6733311732864 has 320 divisors, whose sum is σ = 20110805193600. Its totient is φ = 2236326727680.

The previous prime is 6733311732863. The next prime is 6733311732871. The reversal of 6733311732864 is 4682371133376.

6733311732864 is a `hidden beast` number, since 67 + 3 + 331 + 173 + 2 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6733311732864.

It is not an unprimeable number, because it can be changed into a prime (6733311732863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5104860397 + ... + 5104861715.

It is an arithmetic number, because the mean of its divisors is an integer number (62846266230).

Almost surely, 2^{6733311732864} is an apocalyptic number.

6733311732864 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 6733311732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055402596800).

6733311732864 is an abundant number, since it is smaller than the sum of its proper divisors (13377493460736).

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

6733311732864 is a wasteful number, since it uses less digits than its factorization.

6733311732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2732 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 6733311732864 in words is "six trillion, seven hundred thirty-three billion, three hundred eleven million, seven hundred thirty-two thousand, eight hundred sixty-four".