672881261184 has 768 divisors, whose sum is σ = 2348580648960. Its totient is φ = 189684633600.

The previous prime is 672881261159. The next prime is 672881261197. The reversal of 672881261184 is 481162188276.

672881261184 is a `hidden beast` number, since 6 + 7 + 2 + 8 + 8 + 12 + 611 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 672881261184.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291163389 + ... + 291165699.

It is an arithmetic number, because the mean of its divisors is an integer number (3058047720).

Almost surely, 2^672881261184 is an apocalyptic number.

672881261184 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 672881261184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174290324480).

672881261184 is an abundant number, since it is smaller than the sum of its proper divisors (1675699387776).

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

672881261184 is a wasteful number, since it uses less digits than its factorization.

672881261184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2387 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 672881261184 in words is "six hundred seventy-two billion, eight hundred eighty-one million, two hundred sixty-one thousand, one hundred eighty-four".