6679302000 has 320 divisors, whose sum is σ = 24853171200. Its totient is φ = 1511654400.

The previous prime is 6679301939. The next prime is 6679302061. The reversal of 6679302000 is 2039766.

It is an interprime number because it is at equal distance from previous prime (6679301939) and next prime (6679302061).

It is a super-2 number, since 2×6679302000² = 89226150414408000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4577271 + ... + 4578729.

It is an arithmetic number, because the mean of its divisors is an integer number (77666160).

Almost surely, 2^6679302000 is an apocalyptic number.

6679302000 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 6679302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426585600).

6679302000 is an abundant number, since it is smaller than the sum of its proper divisors (18173869200).

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

6679302000 is a wasteful number, since it uses less digits than its factorization.

6679302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 6679302000 is about 81726.9967636154. The cubic root of 6679302000 is about 1883.2603377526.

The spelling of 6679302000 in words is "six billion, six hundred seventy-nine million, three hundred two thousand".