6117608016 has 240 divisors, whose sum is σ = 18910404240. Its totient is φ = 1845642240.

The previous prime is 6117607997. The next prime is 6117608023. The reversal of 6117608016 is 6108067116.

It can be written as a sum of positive squares in 8 ways, for example, as 6115865616 + 1742400 = 78204^2 + 1320^2 .

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, 19298290 + ... + 19298606.

It is an arithmetic number, because the mean of its divisors is an integer number (78793351).

Almost surely, 2^6117608016 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 6117608016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455202120).

6117608016 is an abundant number, since it is smaller than the sum of its proper divisors (12792796224).

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

6117608016 is a wasteful number, since it uses less digits than its factorization.

6117608016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6117608016 is about 78215.1393018001. The cubic root of 6117608016 is about 1828.9165171019.

The spelling of 6117608016 in words is "six billion, one hundred seventeen million, six hundred eight thousand, sixteen".