6105978756864 has 1296 divisors, whose sum is σ = 22319204544000. Its totient is φ = 1570409938944.

The previous prime is 6105978756859. The next prime is 6105978756869. The reversal of 6105978756864 is 4686578795016.

6105978756864 is a `hidden beast` number, since 6 + 1 + 0 + 59 + 7 + 8 + 7 + 568 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6105978756859) and next prime (6105978756869).

It is a super-2 number, since 2×6105978756864² (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 a junction number, because it is equal to n+sod(n) for n = 6105978756792 and 6105978756801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105978756869) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26898584719 + ... + 26898584945.

Almost surely, 2^{6105978756864} is an apocalyptic number.

6105978756864 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 6105978756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159602272000).

6105978756864 is an abundant number, since it is smaller than the sum of its proper divisors (16213225787136).

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

6105978756864 is a wasteful number, since it uses less digits than its factorization.

6105978756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 6105978756864 in words is "six trillion, one hundred five billion, nine hundred seventy-eight million, seven hundred fifty-six thousand, eight hundred sixty-four".