6058674720 has 768 divisors, whose sum is σ = 26197032960. Its totient is φ = 1277337600.

The previous prime is 6058674709. The next prime is 6058674749. The reversal of 6058674720 is 274768506.

6058674720 is a `hidden beast` number, since 6 + 0 + 586 + 7 + 47 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21560980 + ... + 21561260.

It is an arithmetic number, because the mean of its divisors is an integer number (34110720).

Almost surely, 2^6058674720 is an apocalyptic number.

6058674720 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 6058674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098516480).

6058674720 is an abundant number, since it is smaller than the sum of its proper divisors (20138358240).

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

6058674720 is a wasteful number, since it uses less digits than its factorization.

6058674720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6058674720 is about 77837.4891681380. The cubic root of 6058674720 is about 1823.0246690063.

The spelling of 6058674720 in words is "six billion, fifty-eight million, six hundred seventy-four thousand, seven hundred twenty".