6068837698560 has 1584 divisors, whose sum is σ = 26221254868224. Its totient is φ = 1270739238912.

The previous prime is 6068837698541. The next prime is 6068837698571. The reversal of 6068837698560 is 658967388606.

6068837698560 is a `hidden beast` number, since 60 + 68 + 8 + 376 + 9 + 85 + 60 = 666.

It is a super-2 number, since 2×6068837698560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8885559979 + ... + 8885560661.

Almost surely, 2^{6068837698560} is an apocalyptic number.

6068837698560 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 6068837698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110627434112).

6068837698560 is an abundant number, since it is smaller than the sum of its proper divisors (20152417169664).

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

6068837698560 is a wasteful number, since it uses less digits than its factorization.

6068837698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 6068837698560 in words is "six trillion, sixty-eight billion, eight hundred thirty-seven million, six hundred ninety-eight thousand, five hundred sixty".