6130077716880 has 640 divisors, whose sum is σ = 23870472192000. Its totient is φ = 1435504343040.

The previous prime is 6130077716827. The next prime is 6130077716927. The reversal of 6130077716880 is 886177700316.

6130077716880 is a `hidden beast` number, since 613 + 0 + 0 + 7 + 7 + 7 + 16 + 8 + 8 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 51298641 + ... + 51417999.

It is an arithmetic number, because the mean of its divisors is an integer number (37297612800).

Almost surely, 2^{6130077716880} is an apocalyptic number.

6130077716880 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 6130077716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935236096000).

6130077716880 is an abundant number, since it is smaller than the sum of its proper divisors (17740394475120).

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

6130077716880 is a wasteful number, since it uses less digits than its factorization.

6130077716880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119484 (or 119472 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 6130077716880 in words is "six trillion, one hundred thirty billion, seventy-seven million, seven hundred sixteen thousand, eight hundred eighty".