6136273920 has 528 divisors, whose sum is σ = 23656900608. Its totient is φ = 1352171520.

The previous prime is 6136273907. The next prime is 6136273921. The reversal of 6136273920 is 293726316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6136273921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23331709 + ... + 23331971.

It is an arithmetic number, because the mean of its divisors is an integer number (44804736).

Almost surely, 2^6136273920 is an apocalyptic number.

6136273920 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 6136273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828450304).

6136273920 is an abundant number, since it is smaller than the sum of its proper divisors (17520626688).

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

6136273920 is a wasteful number, since it uses less digits than its factorization.

6136273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 6136273920 is about 78334.3725321139. The cubic root of 6136273920 is about 1830.7747443716.

The spelling of 6136273920 in words is "six billion, one hundred thirty-six million, two hundred seventy-three thousand, nine hundred twenty".