6838356096 has 512 divisors, whose sum is σ = 24120633600. Its totient is φ = 1880064000.

The previous prime is 6838356089. The next prime is 6838356127. The reversal of 6838356096 is 6906538386.

It is a super-2 number, since 2×6838356096² = 93526228191400722432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49914940 + ... + 49915076.

Almost surely, 2^6838356096 is an apocalyptic number.

6838356096 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 6838356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060316800).

6838356096 is an abundant number, since it is smaller than the sum of its proper divisors (17282277504).

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

6838356096 is a wasteful number, since it uses less digits than its factorization.

6838356096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 6838356096 is about 82694.3534710805. The cubic root of 6838356096 is about 1898.0919067659.

The spelling of 6838356096 in words is "six billion, eight hundred thirty-eight million, three hundred fifty-six thousand, ninety-six".