6136965120 has 576 divisors, whose sum is σ = 23423662080. Its totient is φ = 1362493440.

The previous prime is 6136965119. The next prime is 6136965143. The reversal of 6136965120 is 215696316.

It is a super-2 number, since 2×6136965120² = 75324681768193228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48322497 + ... + 48322623.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 2^6136965120 is an apocalyptic number.

6136965120 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 6136965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711831040).

6136965120 is an abundant number, since it is smaller than the sum of its proper divisors (17286696960).

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

6136965120 is a wasteful number, since it uses less digits than its factorization.

6136965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 6136965120 is about 78338.7842642455. The cubic root of 6136965120 is about 1830.8434822849.

It can be divided in two parts, 613696 and 5120, that added together give a palindrome (618816).

The spelling of 6136965120 in words is "six billion, one hundred thirty-six million, nine hundred sixty-five thousand, one hundred twenty".