6799426336800 has 216 divisors, whose sum is σ = 23978687867316. Its totient is φ = 1813013176320.

The previous prime is 6799426336793. The next prime is 6799426336831. The reversal of 6799426336800 is 86336249976.

6799426336800 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 4 + 263 + 368 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156085045776 + 6643341291024 = 395076^2 + 2577468^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91381212 + ... + 91455588.

Almost surely, 2^{6799426336800} is an apocalyptic number.

6799426336800 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 6799426336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989343933658).

6799426336800 is an abundant number, since it is smaller than the sum of its proper divisors (17179261530516).

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

6799426336800 is a wasteful number, since it uses less digits than its factorization.

6799426336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87100 (or 87084 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 6799426336800 in words is "six trillion, seven hundred ninety-nine billion, four hundred twenty-six million, three hundred thirty-six thousand, eight hundred".