672435773646624 has 288 divisors, whose sum is σ = 2062410460843824. Its totient is φ = 206594350571520.

The previous prime is 672435773646601. The next prime is 672435773646631. The reversal of 672435773646624 is 426646377534276.

672435773646624 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 3 + 577 + 3 + 6 + 46 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 619188572250000 + 53247201396624 = 24883500^2 + 7297068^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36985622814 + ... + 36985640994.

Almost surely, 2^{672435773646624} 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 672435773646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031205230421912).

672435773646624 is an abundant number, since it is smaller than the sum of its proper divisors (1389974687197200).

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

672435773646624 is a wasteful number, since it uses less digits than its factorization.

672435773646624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32420 (or 32409 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 72.

The spelling of 672435773646624 in words is "six hundred seventy-two trillion, four hundred thirty-five billion, seven hundred seventy-three million, six hundred forty-six thousand, six hundred twenty-four".