6170481967104 has 960 divisors, whose sum is σ = 22659455257600. Its totient is φ = 1625585614848.

The previous prime is 6170481967087. The next prime is 6170481967147. The reversal of 6170481967104 is 4017691840716.

6170481967104 is a `hidden beast` number, since 6 + 1 + 7 + 0 + 481 + 96 + 71 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6803177019 + ... + 6803177925.

Almost surely, 2^{6170481967104} is an apocalyptic number.

6170481967104 is a gapful number since it is divisible by the number (64) 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 6170481967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11329727628800).

6170481967104 is an abundant number, since it is smaller than the sum of its proper divisors (16488973290496).

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

6170481967104 is an frugal number, since it uses more digits than its factorization.

6170481967104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 6170481967104 in words is "six trillion, one hundred seventy billion, four hundred eighty-one million, nine hundred sixty-seven thousand, one hundred four".