672620505042304 has 1536 divisors, whose sum is σ = 1882265178931200. Its totient is φ = 237422520631296.

The previous prime is 672620505042289. The next prime is 672620505042341. The reversal of 672620505042304 is 403240505026276.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 684252802197 + ... + 684252803179.

It is an arithmetic number, because the mean of its divisors is an integer number (1225433059200).

Almost surely, 2^{672620505042304} is an apocalyptic number.

672620505042304 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 672620505042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941132589465600).

672620505042304 is an abundant number, since it is smaller than the sum of its proper divisors (1209644673888896).

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

672620505042304 is a wasteful number, since it uses less digits than its factorization.

672620505042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 672620505042304 in words is "six hundred seventy-two trillion, six hundred twenty billion, five hundred five million, forty-two thousand, three hundred four".