6114072960 has 384 divisors, whose sum is σ = 22080764160. Its totient is φ = 1557135360.

The previous prime is 6114072959. The next prime is 6114073037. The reversal of 6114072960 is 692704116.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17320144 + ... + 17320496.

It is an arithmetic number, because the mean of its divisors is an integer number (57501990).

Almost surely, 2^6114072960 is an apocalyptic number.

6114072960 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 6114072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040382080).

6114072960 is an abundant number, since it is smaller than the sum of its proper divisors (15966691200).

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

6114072960 is a wasteful number, since it uses less digits than its factorization.

6114072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6114072960 is about 78192.5377513737. The cubic root of 6114072960 is about 1828.5641698001.

The spelling of 6114072960 in words is "six billion, one hundred fourteen million, seventy-two thousand, nine hundred sixty".