6850977408 has 480 divisors, whose sum is σ = 23112122880. Its totient is φ = 2011806720.

The previous prime is 6850977391. The next prime is 6850977433. The reversal of 6850977408 is 8047790586.

6850977408 is a `hidden beast` number, since 68 + 509 + 7 + 74 + 0 + 8 = 666.

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 59 ways as a sum of consecutive naturals, for example, 53944641 + ... + 53944767.

It is an arithmetic number, because the mean of its divisors is an integer number (48150256).

Almost surely, 2^6850977408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6850977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556061440).

6850977408 is an abundant number, since it is smaller than the sum of its proper divisors (16261145472).

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

6850977408 is a wasteful number, since it uses less digits than its factorization.

6850977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6850977408 is about 82770.6313132865. The cubic root of 6850977408 is about 1899.2589361132.

The spelling of 6850977408 in words is "six billion, eight hundred fifty million, nine hundred seventy-seven thousand, four hundred eight".