672357914984448 has 2880 divisors, whose sum is σ = 2675201476147200. Its totient is φ = 163461841551360.

The previous prime is 672357914984369. The next prime is 672357914984489. The reversal of 672357914984448 is 844489419753276.

672357914984448 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 5 + 7 + 91 + 4 + 9 + 84 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 518394690936 + ... + 518394692232.

It is an arithmetic number, because the mean of its divisors is an integer number (928889401440).

Almost surely, 2^{672357914984448} 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 672357914984448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337600738073600).

672357914984448 is an abundant number, since it is smaller than the sum of its proper divisors (2002843561162752).

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

672357914984448 is a wasteful number, since it uses less digits than its factorization.

672357914984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1428 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 672357914984448 in words is "six hundred seventy-two trillion, three hundred fifty-seven billion, nine hundred fourteen million, nine hundred eighty-four thousand, four hundred forty-eight".