672165381888 has 2160 divisors, whose sum is σ = 2815552244736. Its totient is φ = 154753597440.

The previous prime is 672165381829. The next prime is 672165381889. The reversal of 672165381888 is 888183561276.

672165381888 is a `hidden beast` number, since 6 + 7 + 2 + 1 + 6 + 538 + 18 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672165381889) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12682365670 + ... + 12682365722.

Almost surely, 2^672165381888 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 672165381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407776122368).

672165381888 is an abundant number, since it is smaller than the sum of its proper divisors (2143386862848).

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

672165381888 is a wasteful number, since it uses less digits than its factorization.

672165381888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 672165381888 in words is "six hundred seventy-two billion, one hundred sixty-five million, three hundred eighty-one thousand, eight hundred eighty-eight".