6647179680 has 192 divisors, whose sum is σ = 23311048320. Its totient is φ = 1769084928.

The previous prime is 6647179667. The next prime is 6647179709. The reversal of 6647179680 is 869717466.

It is a happy number.

6647179680 is a `hidden beast` number, since 6 + 6 + 471 + 7 + 96 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2776564 + ... + 2778956.

It is an arithmetic number, because the mean of its divisors is an integer number (121411710).

Almost surely, 2^6647179680 is an apocalyptic number.

6647179680 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 6647179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11655524160).

6647179680 is an abundant number, since it is smaller than the sum of its proper divisors (16663868640).

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

6647179680 is a wasteful number, since it uses less digits than its factorization.

6647179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6647179680 is about 81530.2378262200. The cubic root of 6647179680 is about 1880.2364724425.

The spelling of 6647179680 in words is "six billion, six hundred forty-seven million, one hundred seventy-nine thousand, six hundred eighty".