673725772864 has 189 divisors, whose sum is σ = 1428089099493. Its totient is φ = 315347867136.

The previous prime is 673725772801. The next prime is 673725772871. The reversal of 673725772864 is 468277527376.

The square root of 673725772864 is 820808.

It is a perfect power (a square), and thus also a powerful number.

673725772864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 602859073600 + 70866699264 = 776440^2 + 266208^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 673725772796 and 673725772805.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11419080867 + ... + 11419080925.

Almost surely, 2^673725772864 is an apocalyptic number.

673725772864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

673725772864 is the 820808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673725772864

673725772864 is an abundant number, since it is smaller than the sum of its proper divisors (754363326629).

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

673725772864 is an frugal number, since it uses more digits than its factorization.

673725772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 145 counting only the distinct ones).

The product of its digits is 165957120, while the sum is 64.

Multiplying 673725772864 by its sum of digits (64), we get a square (43118449463296 = 6566464²).

673725772864 divided by its sum of digits (64) gives a square (10526965201 = 102601²).

The spelling of 673725772864 in words is "six hundred seventy-three billion, seven hundred twenty-five million, seven hundred seventy-two thousand, eight hundred sixty-four".