672524161344 has 560 divisors, whose sum is σ = 2395965597696. Its totient is φ = 182362752000.

The previous prime is 672524161319. The next prime is 672524161349. The reversal of 672524161344 is 443161425276.

672524161344 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 24 + 1 + 613 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 672524161344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672524161349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109332669 + ... + 109338819.

Almost surely, 2^672524161344 is an apocalyptic number.

672524161344 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 672524161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197982798848).

672524161344 is an abundant number, since it is smaller than the sum of its proper divisors (1723441436352).

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

672524161344 is a wasteful number, since it uses less digits than its factorization.

672524161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6317 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 672524161344 in words is "six hundred seventy-two billion, five hundred twenty-four million, one hundred sixty-one thousand, three hundred forty-four".