6733379199456 has 288 divisors, whose sum is σ = 23571477715968. Its totient is φ = 1775485854720.

The previous prime is 6733379199451. The next prime is 6733379199493. The reversal of 6733379199456 is 6549919733376.

6733379199456 is a `hidden beast` number, since 6 + 73 + 33 + 79 + 1 + 9 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6733379199451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149651395 + ... + 149696381.

It is an arithmetic number, because the mean of its divisors is an integer number (81845408736).

Almost surely, 2^{6733379199456} 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 6733379199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11785738857984).

6733379199456 is an abundant number, since it is smaller than the sum of its proper divisors (16838098516512).

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

6733379199456 is a wasteful number, since it uses less digits than its factorization.

6733379199456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50734 (or 50723 counting only the distinct ones).

The product of its digits is 694416240, while the sum is 72.

The spelling of 6733379199456 in words is "six trillion, seven hundred thirty-three billion, three hundred seventy-nine million, one hundred ninety-nine thousand, four hundred fifty-six".