6172671777120 has 72 divisors (see below), whose sum is σ = 21064242444336. Its totient is φ = 1646045806848.

The previous prime is 6172671777043. The next prime is 6172671777133. The reversal of 6172671777120 is 217771762716.

6172671777120 is a `hidden beast` number, since 617 + 2 + 6 + 7 + 1 + 7 + 7 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 2143287372 + ... + 2143290251.

It is an arithmetic number, because the mean of its divisors is an integer number (292558922838).

Almost surely, 2^{6172671777120} is an apocalyptic number.

6172671777120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6172671777120 is an abundant number, since it is smaller than the sum of its proper divisors (14891570667216).

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

6172671777120 is a wasteful number, since it uses less digits than its factorization.

6172671777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286577644 (or 4286577633 counting only the distinct ones).

The product of its (nonzero) digits is 2420208, while the sum is 54.

The spelling of 6172671777120 in words is "six trillion, one hundred seventy-two billion, six hundred seventy-one million, seven hundred seventy-seven thousand, one hundred twenty".