6086664000 has 672 divisors, whose sum is σ = 23538557952. Its totient is φ = 1555200000.

The previous prime is 6086663981. The next prime is 6086664013. The reversal of 6086664000 is 4666806.

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 95 ways as a sum of consecutive naturals, for example, 60263950 + ... + 60264050.

It is an arithmetic number, because the mean of its divisors is an integer number (35027616).

Almost surely, 2^6086664000 is an apocalyptic number.

6086664000 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 6086664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11769278976).

6086664000 is an abundant number, since it is smaller than the sum of its proper divisors (17451893952).

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

6086664000 is a wasteful number, since it uses less digits than its factorization.

6086664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6086664000 is about 78017.0750541188. The cubic root of 6086664000 is about 1825.8276348704.

The spelling of 6086664000 in words is "six billion, eighty-six million, six hundred sixty-four thousand".