6172679208960 has 1620 divisors, whose sum is σ = 25134819767442. Its totient is φ = 1448135884800.

The previous prime is 6172679208923. The next prime is 6172679209001. The reversal of 6172679208960 is 698029762716.

6172679208960 is a `hidden beast` number, since 617 + 2 + 6 + 7 + 9 + 2 + 0 + 8 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5555411288064 + 617267920896 = 2356992^2 + 785664^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 199118684145 + ... + 199118684175.

Almost surely, 2^{6172679208960} is an apocalyptic number.

6172679208960 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 6172679208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567409883721).

6172679208960 is an abundant number, since it is smaller than the sum of its proper divisors (18962140558482).

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

6172679208960 is an frugal number, since it uses more digits than its factorization.

6172679208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 6172679208960 in words is "six trillion, one hundred seventy-two billion, six hundred seventy-nine million, two hundred eight thousand, nine hundred sixty".