6117779008512 has 528 divisors, whose sum is σ = 18568139046912. Its totient is φ = 1937744363520.

The previous prime is 6117779008507. The next prime is 6117779008529. The reversal of 6117779008512 is 2158009777116.

6117779008512 is a `hidden beast` number, since 6 + 117 + 7 + 7 + 9 + 0 + 0 + 8 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3737188558 + ... + 3737190194.

Almost surely, 2^{6117779008512} is an apocalyptic number.

6117779008512 is a gapful number since it is divisible by the number (62) 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 6117779008512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9284069523456).

6117779008512 is an abundant number, since it is smaller than the sum of its proper divisors (12450360038400).

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

6117779008512 is a wasteful number, since it uses less digits than its factorization.

6117779008512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 6117779008512 in words is "six trillion, one hundred seventeen billion, seven hundred seventy-nine million, eight thousand, five hundred twelve".