6117077120 has 256 divisors, whose sum is σ = 18427564800. Its totient is φ = 1886208000.

The previous prime is 6117077117. The next prime is 6117077129. The reversal of 6117077120 is 217707116.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (6117077129) 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 31 ways as a sum of consecutive naturals, for example, 4976666 + ... + 4977894.

It is an arithmetic number, because the mean of its divisors is an integer number (71982675).

Almost surely, 2^6117077120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6117077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213782400).

6117077120 is an abundant number, since it is smaller than the sum of its proper divisors (12310487680).

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

6117077120 is a wasteful number, since it uses less digits than its factorization.

6117077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 32.

The square root of 6117077120 is about 78211.7454094972. The cubic root of 6117077120 is about 1828.8636101188.

The spelling of 6117077120 in words is "six billion, one hundred seventeen million, seventy-seven thousand, one hundred twenty".