6136607232 has 720 divisors, whose sum is σ = 23348362752. Its totient is φ = 1512898560.

The previous prime is 6136607231. The next prime is 6136607291. The reversal of 6136607232 is 2327066316.

6136607232 is a `hidden beast` number, since 6 + 13 + 6 + 607 + 2 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6136607231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 197955057 + ... + 197955087.

Almost surely, 2^6136607232 is an apocalyptic number.

6136607232 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a pronic number, being equal to 78336×78337.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6136607232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674181376).

6136607232 is an abundant number, since it is smaller than the sum of its proper divisors (17211755520).

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

6136607232 is a wasteful number, since it uses less digits than its factorization.

6136607232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6136607232 is about 78336.4999984043. The cubic root of 6136607232 is about 1830.8078919653.

The spelling of 6136607232 in words is "six billion, one hundred thirty-six million, six hundred seven thousand, two hundred thirty-two".