6067972224 has 128 divisors (see below), whose sum is σ = 18290476800. Its totient is φ = 1979569152.

The previous prime is 6067972223. The next prime is 6067972237. The reversal of 6067972224 is 4222797606.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6067972224² = 73640573822471012352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6067972224.

It is not an unprimeable number, because it can be changed into a prime (6067972223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143754 + ... + 181110.

It is an arithmetic number, because the mean of its divisors is an integer number (142894350).

Almost surely, 2^6067972224 is an apocalyptic number.

6067972224 is a gapful number since it is divisible by the number (64) 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 6067972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145238400).

6067972224 is an abundant number, since it is smaller than the sum of its proper divisors (12222504576).

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

6067972224 is a wasteful number, since it uses less digits than its factorization.

6067972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37427 (or 37409 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6067972224 is about 77897.1900905289. The cubic root of 6067972224 is about 1823.9567164244.

The spelling of 6067972224 in words is "six billion, sixty-seven million, nine hundred seventy-two thousand, two hundred twenty-four".