6136300800 has 1080 divisors, whose sum is σ = 27601358400. Its totient is φ = 1313832960.

The previous prime is 6136300721. The next prime is 6136300817. The reversal of 6136300800 is 80036316.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68947156 + ... + 68947244.

Almost surely, 2^6136300800 is an apocalyptic number.

6136300800 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 6136300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800679200).

6136300800 is an abundant number, since it is smaller than the sum of its proper divisors (21465057600).

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

6136300800 is a wasteful number, since it uses less digits than its factorization.

6136300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6136300800 is about 78334.5441041179. The cubic root of 6136300800 is about 1830.7774176092. Note that the first 3 decimals are identical.

It can be divided in two parts, 6136 and 300800, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 6136300800 in words is "six billion, one hundred thirty-six million, three hundred thousand, eight hundred".