6659279059680 has 1152 divisors, whose sum is σ = 26436222408960. Its totient is φ = 1513535569920.

The previous prime is 6659279059651. The next prime is 6659279059751. The reversal of 6659279059680 is 869509729566.

6659279059680 is a `hidden beast` number, since 6 + 6 + 5 + 9 + 27 + 9 + 0 + 596 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6659279059599 and 6659279059608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1712335176 + ... + 1712339064.

It is an arithmetic number, because the mean of its divisors is an integer number (22948109730).

Almost surely, 2^{6659279059680} is an apocalyptic number.

6659279059680 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 6659279059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218111204480).

6659279059680 is an abundant number, since it is smaller than the sum of its proper divisors (19776943349280).

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

6659279059680 is a wasteful number, since it uses less digits than its factorization.

6659279059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 6659279059680 in words is "six trillion, six hundred fifty-nine billion, two hundred seventy-nine million, fifty-nine thousand, six hundred eighty".