6134680672560 has 160 divisors (see below), whose sum is σ = 23051527464960. Its totient is φ = 1487195308800.

The previous prime is 6134680672501. The next prime is 6134680672573. The reversal of 6134680672560 is 652760864316.

6134680672560 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 6 + 8 + 0 + 6 + 72 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6134680672497 and 6134680672506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129073056 + ... + 129120575.

It is an arithmetic number, because the mean of its divisors is an integer number (144072046656).

Almost surely, 2^{6134680672560} is an apocalyptic number.

6134680672560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6134680672560 is an abundant number, since it is smaller than the sum of its proper divisors (16916846792400).

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

6134680672560 is a wasteful number, since it uses less digits than its factorization.

6134680672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258193664 (or 258193652 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6134680672560 in words is "six trillion, one hundred thirty-four billion, six hundred eighty million, six hundred seventy-two thousand, five hundred sixty".