6012228672 has 224 divisors, whose sum is σ = 18745200000. Its totient is φ = 1884321792.

The previous prime is 6012228661. The next prime is 6012228707. The reversal of 6012228672 is 2768222106.

6012228672 is a `hidden beast` number, since 601 + 22 + 28 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×6012228672² = 72293787208837767168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4891354 + ... + 4892582.

Almost surely, 2^6012228672 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 6012228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372600000).

6012228672 is an abundant number, since it is smaller than the sum of its proper divisors (12732971328).

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

6012228672 is a wasteful number, since it uses less digits than its factorization.

6012228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6012228672 is about 77538.5624834508. The cubic root of 6012228672 is about 1818.3542535270.

The spelling of 6012228672 in words is "six billion, twelve million, two hundred twenty-eight thousand, six hundred seventy-two".