6800192256 has 324 divisors, whose sum is σ = 21591029544. Its totient is φ = 1897758720.

The previous prime is 6800192251. The next prime is 6800192299. The reversal of 6800192256 is 6522910086.

It is a super-2 number, since 2×6800192256² = 92485229437124739072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6800192251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15704616 + ... + 15705048.

Almost surely, 2^6800192256 is an apocalyptic number.

6800192256 is a gapful number since it is divisible by the number (66) 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 6800192256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795514772).

6800192256 is an abundant number, since it is smaller than the sum of its proper divisors (14790837288).

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

6800192256 is a wasteful number, since it uses less digits than its factorization.

6800192256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 6800192256 is about 82463.2782273419. The cubic root of 6800192256 is about 1894.5543289097.

The spelling of 6800192256 in words is "six billion, eight hundred million, one hundred ninety-two thousand, two hundred fifty-six".