6057206400 has 384 divisors, whose sum is σ = 23798476800. Its totient is φ = 1323970560.

The previous prime is 6057206383. The next prime is 6057206413. The reversal of 6057206400 is 46027506.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543641 + ... + 1547559.

It is an arithmetic number, because the mean of its divisors is an integer number (61975200).

Almost surely, 2^6057206400 is an apocalyptic number.

6057206400 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 6057206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899238400).

6057206400 is an abundant number, since it is smaller than the sum of its proper divisors (17741270400).

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

6057206400 is a wasteful number, since it uses less digits than its factorization.

6057206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6057206400 is about 77828.0566376933. The cubic root of 6057206400 is about 1822.8773870800.

The spelling of 6057206400 in words is "six billion, fifty-seven million, two hundred six thousand, four hundred".