6006461632776 has 48 divisors (see below), whose sum is σ = 17746363917360. Its totient is φ = 1820139888480.

The previous prime is 6006461632729. The next prime is 6006461632783. The reversal of 6006461632776 is 6772361646006.

6006461632776 is a `hidden beast` number, since 600 + 6 + 4 + 6 + 1 + 6 + 3 + 27 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3791957310 + ... + 3791958893.

It is an arithmetic number, because the mean of its divisors is an integer number (369715914945).

Almost surely, 2^{6006461632776} is an apocalyptic number.

6006461632776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6006461632776 is an abundant number, since it is smaller than the sum of its proper divisors (11739902284584).

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

6006461632776 is a wasteful number, since it uses less digits than its factorization.

6006461632776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583916226 (or 7583916219 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 6006461632776 in words is "six trillion, six billion, four hundred sixty-one million, six hundred thirty-two thousand, seven hundred seventy-six".