6838077960 has 768 divisors, whose sum is σ = 29328998400. Its totient is φ = 1343692800.

The previous prime is 6838077931. The next prime is 6838078007. The reversal of 6838077960 is 697708386.

It is a junction number, because it is equal to n+sod(n) for n = 6838077897 and 6838077906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25232625 + ... + 25232895.

It is an arithmetic number, because the mean of its divisors is an integer number (38188800).

Almost surely, 2^6838077960 is an apocalyptic number.

6838077960 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 6838077960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664499200).

6838077960 is an abundant number, since it is smaller than the sum of its proper divisors (22490920440).

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

6838077960 is a wasteful number, since it uses less digits than its factorization.

6838077960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6838077960 is about 82692.6717430269. The cubic root of 6838077960 is about 1898.0661727619.

The spelling of 6838077960 in words is "six billion, eight hundred thirty-eight million, seventy-seven thousand, nine hundred sixty".