6045399360 has 1120 divisors, whose sum is σ = 28997160192. Its totient is φ = 1154580480.

The previous prime is 6045399343. The next prime is 6045399361. The reversal of 6045399360 is 639935406.

It is a happy number.

6045399360 is a `hidden beast` number, since 604 + 5 + 3 + 9 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6045399361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945804 + ... + 25946036.

Almost surely, 2^6045399360 is an apocalyptic number.

6045399360 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 6045399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498580096).

6045399360 is an abundant number, since it is smaller than the sum of its proper divisors (22951760832).

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

6045399360 is a wasteful number, since it uses less digits than its factorization.

6045399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 6045399360 is about 77752.1662720724. The cubic root of 6045399360 is about 1821.6921990339.

The spelling of 6045399360 in words is "six billion, forty-five million, three hundred ninety-nine thousand, three hundred sixty".