6164186311680 has 176 divisors, whose sum is σ = 19953308116224. Its totient is φ = 1623978065920.

The previous prime is 6164186311669. The next prime is 6164186311681. The reversal of 6164186311680 is 861136814616.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6164186311681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142676 + ... + 3692435.

Almost surely, 2^{6164186311680} is an apocalyptic number.

6164186311680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6164186311680 is an abundant number, since it is smaller than the sum of its proper divisors (13789121804544).

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

6164186311680 is a wasteful number, since it uses less digits than its factorization.

6164186311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835222 (or 4835204 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 6164186311680 in words is "six trillion, one hundred sixty-four billion, one hundred eighty-six million, three hundred eleven thousand, six hundred eighty".