6112980564660 has 144 divisors (see below), whose sum is σ = 19291310543232. Its totient is φ = 1624886179200.

The previous prime is 6112980564631. The next prime is 6112980564673. The reversal of 6112980564660 is 664650892116.

6112980564660 is a `hidden beast` number, since 6 + 1 + 12 + 9 + 8 + 0 + 564 + 6 + 60 = 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 = 6112980564597 and 6112980564606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510751 + ... + 3533670.

It is an arithmetic number, because the mean of its divisors is an integer number (133967434328).

Almost surely, 2^{6112980564660} is an apocalyptic number.

6112980564660 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 6112980564660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645655271616).

6112980564660 is an abundant number, since it is smaller than the sum of its proper divisors (13178329978572).

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

6112980564660 is a wasteful number, since it uses less digits than its factorization.

6112980564660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044756 (or 4044742 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6112980564660 in words is "six trillion, one hundred twelve billion, nine hundred eighty million, five hundred sixty-four thousand, six hundred sixty".