6117076467840 has 1024 divisors, whose sum is σ = 22616517772800. Its totient is φ = 1397764915200.

The previous prime is 6117076467839. The next prime is 6117076467877. The reversal of 6117076467840 is 487646707116.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10178163540 + ... + 10178164140.

Almost surely, 2^{6117076467840} is an apocalyptic number.

6117076467840 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 6117076467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308258886400).

6117076467840 is an abundant number, since it is smaller than the sum of its proper divisors (16499441304960).

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

6117076467840 is a wasteful number, since it uses less digits than its factorization.

6117076467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 6117076467840 in words is "six trillion, one hundred seventeen billion, seventy-six million, four hundred sixty-seven thousand, eight hundred forty".