6078085767936 has 1296 divisors, whose sum is σ = 22970503395840. Its totient is φ = 1509235752960.

The previous prime is 6078085767931. The next prime is 6078085767937. The reversal of 6078085767936 is 6397675808706.

6078085767936 is a `hidden beast` number, since 607 + 8 + 0 + 8 + 5 + 7 + 6 + 7 + 9 + 3 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6078085767931) 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, 12480668685 + ... + 12480669171.

Almost surely, 2^{6078085767936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6078085767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485251697920).

6078085767936 is an abundant number, since it is smaller than the sum of its proper divisors (16892417627904).

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

6078085767936 is a wasteful number, since it uses less digits than its factorization.

6078085767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 6078085767936 in words is "six trillion, seventy-eight billion, eighty-five million, seven hundred sixty-seven thousand, nine hundred thirty-six".