6838521408 has 42 divisors (see below), whose sum is σ = 19601388534. Its totient is φ = 2279506944.

The previous prime is 6838521373. The next prime is 6838521419. The reversal of 6838521408 is 8041258386.

6838521408 is a `hidden beast` number, since 6 + 83 + 8 + 521 + 40 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3608645184 + 3229876224 = 60072^2 + 56832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5935641 + ... + 5936792.

It is an arithmetic number, because the mean of its divisors is an integer number (466699727).

Almost surely, 2^6838521408 is an apocalyptic number.

It is an amenable number.

6838521408 is an abundant number, since it is smaller than the sum of its proper divisors (12762867126).

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

6838521408 is a wasteful number, since it uses less digits than its factorization.

6838521408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11872451 (or 11872438 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6838521408 is about 82695.3530012419. The cubic root of 6838521408 is about 1898.1072016134.

The spelling of 6838521408 in words is "six billion, eight hundred thirty-eight million, five hundred twenty-one thousand, four hundred eight".