6136076800 has 120 divisors (see below), whose sum is σ = 17374664736. Its totient is φ = 2103767040.

The previous prime is 6136076777. The next prime is 6136076801. The reversal of 6136076800 is 86706316.

It is a self number, because there is not a number n which added to its sum of digits gives 6136076800.

It is not an unprimeable number, because it can be changed into a prime (6136076801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55359 + ... + 123841.

Almost surely, 2^6136076800 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 6136076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687332368).

6136076800 is an abundant number, since it is smaller than the sum of its proper divisors (11238587936).

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

6136076800 is an equidigital number, since it uses as much as digits as its factorization.

6136076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68518 (or 68497 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 6136076800 is about 78333.1143259350. The cubic root of 6136076800 is about 1830.7551403912.

The spelling of 6136076800 in words is "six billion, one hundred thirty-six million, seventy-six thousand, eight hundred".