672182784 has 360 divisors, whose sum is σ = 2440898460. Its totient is φ = 176504832.

The previous prime is 672182723. The next prime is 672182801. The reversal of 672182784 is 487281276.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 2822400 = 25872^2 + 1680^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2935182 + ... + 2935410.

Almost surely, 2^672182784 is an apocalyptic number.

672182784 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 672182784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220449230).

672182784 is an abundant number, since it is smaller than the sum of its proper divisors (1768715676).

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

672182784 is a wasteful number, since it uses less digits than its factorization.

672182784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 672182784 is about 25926.4880768684. The cubic root of 672182784 is about 875.9832360588.

The spelling of 672182784 in words is "six hundred seventy-two million, one hundred eighty-two thousand, seven hundred eighty-four".