6667167672 has 192 divisors, whose sum is σ = 20712706560. Its totient is φ = 1992211200.

The previous prime is 6667167653. The next prime is 6667167679. The reversal of 6667167672 is 2767617666.

It is a super-2 number, since 2×6667167672² = 88902249533123799168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6667167679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558897 + ... + 1563167.

It is an arithmetic number, because the mean of its divisors is an integer number (107878680).

Almost surely, 2^6667167672 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 6667167672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356353280).

6667167672 is an abundant number, since it is smaller than the sum of its proper divisors (14045538888).

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

6667167672 is a wasteful number, since it uses less digits than its factorization.

6667167672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4360 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 6667167672 is about 81652.7260536965. The cubic root of 6667167672 is about 1882.1192029880.

The spelling of 6667167672 in words is "six billion, six hundred sixty-seven million, one hundred sixty-seven thousand, six hundred seventy-two".