6007022560 has 192 divisors, whose sum is σ = 17827568640. Its totient is φ = 1858129920.

The previous prime is 6007022543. The next prime is 6007022579. The reversal of 6007022560 is 652207006.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686061 + ... + 1689619.

It is an arithmetic number, because the mean of its divisors is an integer number (92851920).

Almost surely, 2^6007022560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6007022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913784320).

6007022560 is an abundant number, since it is smaller than the sum of its proper divisors (11820546080).

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

6007022560 is a wasteful number, since it uses less digits than its factorization.

6007022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 6007022560 is about 77504.9840977985. The cubic root of 6007022560 is about 1817.8292518923.

Adding to 6007022560 its reverse (652207006), we get a palindrome (6659229566).

The spelling of 6007022560 in words is "six billion, seven million, twenty-two thousand, five hundred sixty".