6679861020 has 288 divisors, whose sum is σ = 25061557248. Its totient is φ = 1460270592.

The previous prime is 6679861003. The next prime is 6679861031. The reversal of 6679861020 is 201689766.

6679861020 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 8 + 610 + 20 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 778192 + ... + 786728.

It is an arithmetic number, because the mean of its divisors is an integer number (87019296).

Almost surely, 2^6679861020 is an apocalyptic number.

6679861020 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 6679861020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530778624).

6679861020 is an abundant number, since it is smaller than the sum of its proper divisors (18381696228).

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

6679861020 is a wasteful number, since it uses less digits than its factorization.

6679861020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8577 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6679861020 is about 81730.4167369774. The cubic root of 6679861020 is about 1883.3128757186.

The spelling of 6679861020 in words is "six billion, six hundred seventy-nine million, eight hundred sixty-one thousand, twenty".