6116838000 has 640 divisors, whose sum is σ = 25738352640. Its totient is φ = 1212825600.

The previous prime is 6116837981. The next prime is 6116838019. The reversal of 6116838000 is 8386116.

It is an interprime number because it is at equal distance from previous prime (6116837981) and next prime (6116838019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9281671 + ... + 9282329.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 2^6116838000 is an apocalyptic number.

6116838000 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 6116838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

6116838000 is an abundant number, since it is smaller than the sum of its proper divisors (19621514640).

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

6116838000 is a wasteful number, since it uses less digits than its factorization.

6116838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6116838000 is about 78210.2167239038. The cubic root of 6116838000 is about 1828.8397793711.

The spelling of 6116838000 in words is "six billion, one hundred sixteen million, eight hundred thirty-eight thousand".