6045441600 has 336 divisors, whose sum is σ = 22003609536. Its totient is φ = 1440768000.

The previous prime is 6045441593. The next prime is 6045441617. The reversal of 6045441600 is 61445406.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3219862 + ... + 3221738.

Almost surely, 2^6045441600 is an apocalyptic number.

6045441600 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 6045441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001804768).

6045441600 is an abundant number, since it is smaller than the sum of its proper divisors (15958167936).

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

6045441600 is a wasteful number, since it uses less digits than its factorization.

6045441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6045441600 is about 77752.4379039011. The cubic root of 6045441600 is about 1821.6964418249.

The spelling of 6045441600 in words is "six billion, forty-five million, four hundred forty-one thousand, six hundred".