6679078560 has 1152 divisors, whose sum is σ = 31067172864. Its totient is φ = 1313832960.

The previous prime is 6679078547. The next prime is 6679078577. The reversal of 6679078560 is 658709766.

It is a happy number.

6679078560 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 0 + 78 + 560 = 666.

It is a super-2 number, since 2×6679078560² = 89220180821303347200, which contains 22 as substring.

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 = 6679078497 and 6679078506.

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, 68856432 + ... + 68856528.

It is an arithmetic number, because the mean of its divisors is an integer number (26968032).

Almost surely, 2^6679078560 is an apocalyptic number.

6679078560 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 6679078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533586432).

6679078560 is an abundant number, since it is smaller than the sum of its proper divisors (24388094304).

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

6679078560 is a wasteful number, since it uses less digits than its factorization.

6679078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 6679078560 is about 81725.6297620275. The cubic root of 6679078560 is about 1883.2393375352.

The spelling of 6679078560 in words is "six billion, six hundred seventy-nine million, seventy-eight thousand, five hundred sixty".