6151963315680 has 1152 divisors, whose sum is σ = 27410162427648. Its totient is φ = 1219321921536.

The previous prime is 6151963315639. The next prime is 6151963315739. The reversal of 6151963315680 is 865133691516.

6151963315680 is a `hidden beast` number, since 6 + 1 + 5 + 19 + 63 + 3 + 1 + 568 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1321011912 + ... + 1321016568.

It is an arithmetic number, because the mean of its divisors is an integer number (23793543774).

Almost surely, 2^{6151963315680} is an apocalyptic number.

6151963315680 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 6151963315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705081213824).

6151963315680 is an abundant number, since it is smaller than the sum of its proper divisors (21258199111968).

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

6151963315680 is a wasteful number, since it uses less digits than its factorization.

6151963315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 6151963315680 in words is "six trillion, one hundred fifty-one billion, nine hundred sixty-three million, three hundred fifteen thousand, six hundred eighty".