6374442672 has 240 divisors, whose sum is σ = 21046465440. Its totient is φ = 1782079488.

The previous prime is 6374442647. The next prime is 6374442707. The reversal of 6374442672 is 2762444736.

6374442672 is a `hidden beast` number, since 637 + 4 + 4 + 4 + 2 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×6374442672² = 81267038757228999168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919443 + ... + 926349.

It is an arithmetic number, because the mean of its divisors is an integer number (87693606).

Almost surely, 2^6374442672 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 6374442672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523232720).

6374442672 is an abundant number, since it is smaller than the sum of its proper divisors (14672022768).

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

6374442672 is a wasteful number, since it uses less digits than its factorization.

6374442672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6971 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 6374442672 is about 79840.1069137561. The cubic root of 6374442672 is about 1854.1608487644.

The spelling of 6374442672 in words is "six billion, three hundred seventy-four million, four hundred forty-two thousand, six hundred seventy-two".