6059779506 has 128 divisors (see below), whose sum is σ = 16091654400. Its totient is φ = 1668602880.

The previous prime is 6059779501. The next prime is 6059779507.

6059779506 is a `hidden beast` number, since 60 + 5 + 9 + 7 + 79 + 506 = 666.

6059779506 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6059779506² = 73441855322675208072, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6059779501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282496 + ... + 303188.

It is an arithmetic number, because the mean of its divisors is an integer number (125716050).

Almost surely, 2^6059779506 is an apocalyptic number.

6059779506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6059779506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045827200).

6059779506 is an abundant number, since it is smaller than the sum of its proper divisors (10031874894).

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

6059779506 is a wasteful number, since it uses less digits than its factorization.

6059779506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20761 (or 20755 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 6059779506 is about 77844.5855920629. The cubic root of 6059779506 is about 1823.1354704504.

The spelling of 6059779506 in words is "six billion, fifty-nine million, seven hundred seventy-nine thousand, five hundred six".