6057542400 has 432 divisors, whose sum is σ = 24611591424. Its totient is φ = 1277706240.

The previous prime is 6057542389. The next prime is 6057542411. The reversal of 6057542400 is 42457506.

It is an interprime number because it is at equal distance from previous prime (6057542389) and next prime (6057542411).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745467 + ... + 1748933.

Almost surely, 2^6057542400 is an apocalyptic number.

6057542400 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 6057542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305795712).

6057542400 is an abundant number, since it is smaller than the sum of its proper divisors (18554049024).

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

6057542400 is a wasteful number, since it uses less digits than its factorization.

6057542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 6057542400 is about 77830.2152123454. The cubic root of 6057542400 is about 1822.9110921379.

Adding to 6057542400 its reverse (42457506), we get a palindrome (6099999906).

The spelling of 6057542400 in words is "six billion, fifty-seven million, five hundred forty-two thousand, four hundred".