6136704000 has 528 divisors, whose sum is σ = 25306422336. Its totient is φ = 1400832000.

The previous prime is 6136703981. The next prime is 6136704001. The reversal of 6136704000 is 4076316.

6136704000 is a `hidden beast` number, since 613 + 6 + 7 + 0 + 40 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6136704001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063620 + ... + 8064380.

Almost surely, 2^6136704000 is an apocalyptic number.

6136704000 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 6136704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12653211168).

6136704000 is an abundant number, since it is smaller than the sum of its proper divisors (19169718336).

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

6136704000 is a wasteful number, since it uses less digits than its factorization.

6136704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6136704000 is about 78337.1176390860. The cubic root of 6136704000 is about 1830.8175152354.

The spelling of 6136704000 in words is "six billion, one hundred thirty-six million, seven hundred four thousand".