6058768464 has 320 divisors, whose sum is σ = 20951040000. Its totient is φ = 1673965440.

The previous prime is 6058768447. The next prime is 6058768483. The reversal of 6058768464 is 4648678506.

6058768464 is a `hidden beast` number, since 60 + 58 + 76 + 8 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6058768464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4592797 + ... + 4594115.

It is an arithmetic number, because the mean of its divisors is an integer number (65472000).

Almost surely, 2^6058768464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6058768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475520000).

6058768464 is an abundant number, since it is smaller than the sum of its proper divisors (14892271536).

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

6058768464 is a wasteful number, since it uses less digits than its factorization.

6058768464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 6058768464 is about 77838.0913435061. The cubic root of 6058768464 is about 1823.0340713234.

The spelling of 6058768464 in words is "six billion, fifty-eight million, seven hundred sixty-eight thousand, four hundred sixty-four".