6679618560 has 352 divisors, whose sum is σ = 23954812800. Its totient is φ = 1765048320.

The previous prime is 6679618541. The next prime is 6679618573. The reversal of 6679618560 is 658169766.

6679618560 is a `hidden beast` number, since 6 + 6 + 79 + 6 + 1 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6679618497 and 6679618506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29168526 + ... + 29168754.

Almost surely, 2^6679618560 is an apocalyptic number.

6679618560 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 6679618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977406400).

6679618560 is an abundant number, since it is smaller than the sum of its proper divisors (17275194240).

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

6679618560 is a wasteful number, since it uses less digits than its factorization.

6679618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6679618560 is about 81728.9334324143. The cubic root of 6679618560 is about 1883.2900891385.

The spelling of 6679618560 in words is "six billion, six hundred seventy-nine million, six hundred eighteen thousand, five hundred sixty".