6458112960 has 448 divisors, whose sum is σ = 23350118400. Its totient is φ = 1500364800.

The previous prime is 6458112931. The next prime is 6458112961. The reversal of 6458112960 is 692118546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6458112961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42768885 + ... + 42769035.

It is an arithmetic number, because the mean of its divisors is an integer number (52120800).

Almost surely, 2^6458112960 is an apocalyptic number.

6458112960 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 6458112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675059200).

6458112960 is an abundant number, since it is smaller than the sum of its proper divisors (16892005440).

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

6458112960 is a wasteful number, since it uses less digits than its factorization.

6458112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 6458112960 is about 80362.3852309026. The cubic root of 6458112960 is about 1862.2381197791.

The spelling of 6458112960 in words is "six billion, four hundred fifty-eight million, one hundred twelve thousand, nine hundred sixty".