6796138800 has 120 divisors (see below), whose sum is σ = 23749462080. Its totient is φ = 1647545600.

The previous prime is 6796138729. The next prime is 6796138801. The reversal of 6796138800 is 88316976.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6796138800.

It is not an unprimeable number, because it can be changed into a prime (6796138801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244230 + ... + 270629.

It is an arithmetic number, because the mean of its divisors is an integer number (197912184).

Almost surely, 2^6796138800 is an apocalyptic number.

6796138800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6796138800 is an abundant number, since it is smaller than the sum of its proper divisors (16953323280).

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

6796138800 is a wasteful number, since it uses less digits than its factorization.

6796138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514891 (or 514880 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 6796138800 is about 82438.6972240586. The cubic root of 6796138800 is about 1894.1778190164.

The spelling of 6796138800 in words is "six billion, seven hundred ninety-six million, one hundred thirty-eight thousand, eight hundred".