672435643465728 has 300 divisors, whose sum is σ = 2009219075663800. Its totient is φ = 224114518130688.

The previous prime is 672435643465723. The next prime is 672435643465871. The reversal of 672435643465728 is 827564346534276.

672435643465728 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 3 + 5 + 6 + 4 + 3 + 46 + 572 + 8 = 666.

It is a super-2 number, since 2×672435643465728² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672435643465721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11005642923 + ... + 11005704021.

Almost surely, 2^{672435643465728} 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 672435643465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004609537831900).

672435643465728 is an abundant number, since it is smaller than the sum of its proper divisors (1336783432198072).

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

672435643465728 is an frugal number, since it uses more digits than its factorization.

672435643465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69432 (or 69397 counting only the distinct ones).

The product of its digits is 4877107200, while the sum is 72.

The spelling of 672435643465728 in words is "six hundred seventy-two trillion, four hundred thirty-five billion, six hundred forty-three million, four hundred sixty-five thousand, seven hundred twenty-eight".