6136884000 has 960 divisors, whose sum is σ = 25572298752. Its totient is φ = 1430784000.

The previous prime is 6136883999. The next prime is 6136884029. The reversal of 6136884000 is 4886316.

6136884000 = T₄₁₅ + T₄₁₆ + ... + T₃₃₂₈.

It is a happy number.

It is a super-2 number, since 2×6136884000² = 75322690458912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 130571977 + ... + 130572023.

Almost surely, 2^6136884000 is an apocalyptic number.

6136884000 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 6136884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786149376).

6136884000 is an abundant number, since it is smaller than the sum of its proper divisors (19435414752).

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

6136884000 is a wasteful number, since it uses less digits than its factorization.

6136884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6136884000 is about 78338.2665113289. The cubic root of 6136884000 is about 1830.8354153943.

The spelling of 6136884000 in words is "six billion, one hundred thirty-six million, eight hundred eighty-four thousand".