6794038944000 has 2592 divisors, whose sum is σ = 32192435463552. Its totient is φ = 1410877440000.

The previous prime is 6794038943981. The next prime is 6794038944023. The reversal of 6794038944000 is 4498304976.

It is a happy number.

6794038944000 is a `hidden beast` number, since 67 + 94 + 0 + 3 + 8 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

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 287 ways as a sum of consecutive naturals, for example, 4191263190 + ... + 4191264810.

Almost surely, 2^{6794038944000} is an apocalyptic number.

6794038944000 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 6794038944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096217731776).

6794038944000 is an abundant number, since it is smaller than the sum of its proper divisors (25398396519552).

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

6794038944000 is a wasteful number, since it uses less digits than its factorization.

6794038944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6794038944000 in words is "six trillion, seven hundred ninety-four billion, thirty-eight million, nine hundred forty-four thousand".