672640200144 has 120 divisors (see below), whose sum is σ = 2054579436000. Its totient is φ = 203732248320.

The previous prime is 672640200137. The next prime is 672640200203. The reversal of 672640200144 is 441002046276.

672640200144 is a `hidden beast` number, since 6 + 7 + 2 + 640 + 2 + 0 + 0 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 672640200099 and 672640200108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3223662 + ... + 3425970.

It is an arithmetic number, because the mean of its divisors is an integer number (17121495300).

Almost surely, 2^672640200144 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 672640200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027289718000).

672640200144 is an abundant number, since it is smaller than the sum of its proper divisors (1381939235856).

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

672640200144 is a wasteful number, since it uses less digits than its factorization.

672640200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204433 (or 204424 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 672640200144 in words is "six hundred seventy-two billion, six hundred forty million, two hundred thousand, one hundred forty-four".