6079593960 has 384 divisors, whose sum is σ = 22289904000. Its totient is φ = 1424517120.

The previous prime is 6079593943. The next prime is 6079593967. The reversal of 6079593960 is 693959706.

It is a super-2 number, since 2×6079593960² = 73922925436936963200, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 6079593897 and 6079593906.

It is not an unprimeable number, because it can be changed into a prime (6079593967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17419866 + ... + 17420214.

It is an arithmetic number, because the mean of its divisors is an integer number (58046625).

Almost surely, 2^6079593960 is an apocalyptic number.

6079593960 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 6079593960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

6079593960 is an abundant number, since it is smaller than the sum of its proper divisors (16210310040).

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

6079593960 is a wasteful number, since it uses less digits than its factorization.

6079593960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 6079593960 is about 77971.7510384370. The cubic root of 6079593960 is about 1825.1204234041.

The spelling of 6079593960 in words is "six billion, seventy-nine million, five hundred ninety-three thousand, nine hundred sixty".