6079872960 has 420 divisors, whose sum is σ = 25163401032. Its totient is φ = 1389394944.

The previous prime is 6079872937. The next prime is 6079872977. The reversal of 6079872960 is 692789706.

6079872960 is a `hidden beast` number, since 607 + 9 + 8 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 = 6079872897 and 6079872906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1267687 + ... + 1272473.

Almost surely, 2^6079872960 is an apocalyptic number.

6079872960 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 6079872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581700516).

6079872960 is an abundant number, since it is smaller than the sum of its proper divisors (19083528072).

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

6079872960 is a wasteful number, since it uses less digits than its factorization.

6079872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 6079872960 is about 77973.5401274048. The cubic root of 6079872960 is about 1825.1483419796.

The spelling of 6079872960 in words is "six billion, seventy-nine million, eight hundred seventy-two thousand, nine hundred sixty".