6057434880 has 720 divisors, whose sum is σ = 25420083360. Its totient is φ = 1365590016.

The previous prime is 6057434863. The next prime is 6057434921. The reversal of 6057434880 is 884347506.

6057434880 is a `hidden beast` number, since 605 + 7 + 4 + 34 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6057434880² = 73385034650881228800, which contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 82978524 + ... + 82978596.

Almost surely, 2^6057434880 is an apocalyptic number.

6057434880 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 6057434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710041680).

6057434880 is an abundant number, since it is smaller than the sum of its proper divisors (19362648480).

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

6057434880 is an frugal number, since it uses more digits than its factorization.

6057434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6057434880 is about 77829.5244749703. The cubic root of 6057434880 is about 1822.9003066550.

The spelling of 6057434880 in words is "six billion, fifty-seven million, four hundred thirty-four thousand, eight hundred eighty".