672181407744 has 416 divisors, whose sum is σ = 2272573946880. Its totient is φ = 171619123200.

The previous prime is 672181407707. The next prime is 672181407811. The reversal of 672181407744 is 447704181276.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55818364 + ... + 55830404.

Almost surely, 2^672181407744 is an apocalyptic number.

672181407744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672181407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136286973440).

672181407744 is an abundant number, since it is smaller than the sum of its proper divisors (1600392539136).

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

672181407744 is a wasteful number, since it uses less digits than its factorization.

672181407744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12145 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 672181407744 in words is "six hundred seventy-two billion, one hundred eighty-one million, four hundred seven thousand, seven hundred forty-four".