672579066024 has 384 divisors, whose sum is σ = 2128282490880. Its totient is φ = 190546329600.

The previous prime is 672579065959. The next prime is 672579066043. The reversal of 672579066024 is 420660975276.

672579066024 is a `hidden beast` number, since 6 + 7 + 2 + 579 + 0 + 6 + 60 + 2 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35771794 + ... + 35790590.

It is an arithmetic number, because the mean of its divisors is an integer number (5542402320).

Almost surely, 2^672579066024 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 672579066024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064141245440).

672579066024 is an abundant number, since it is smaller than the sum of its proper divisors (1455703424856).

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

672579066024 is a wasteful number, since it uses less digits than its factorization.

672579066024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18921 (or 18914 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 672579066024 in words is "six hundred seventy-two billion, five hundred seventy-nine million, sixty-six thousand, twenty-four".