672387028992 has 480 divisors, whose sum is σ = 2430367299360. Its totient is φ = 180804648960.

The previous prime is 672387028961. The next prime is 672387028997. The reversal of 672387028992 is 299820783276.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (672387028997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19723642 + ... + 19757702.

It is an arithmetic number, because the mean of its divisors is an integer number (5063265207).

Almost surely, 2^672387028992 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 672387028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215183649680).

672387028992 is an abundant number, since it is smaller than the sum of its proper divisors (1757980270368).

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

672387028992 is a wasteful number, since it uses less digits than its factorization.

672387028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34119 (or 34090 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 672387028992 in words is "six hundred seventy-two billion, three hundred eighty-seven million, twenty-eight thousand, nine hundred ninety-two".