673964827200 has 1008 divisors, whose sum is σ = 2831991312384. Its totient is φ = 148801536000.

The previous prime is 673964827199. The next prime is 673964827213. The reversal of 673964827200 is 2728469376.

673964827200 is a `hidden beast` number, since 6 + 7 + 3 + 96 + 482 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 585546625 + ... + 585547775.

Almost surely, 2^673964827200 is an apocalyptic number.

673964827200 is a gapful number since it is divisible by the number (60) 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 673964827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415995656192).

673964827200 is an abundant number, since it is smaller than the sum of its proper divisors (2158026485184).

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

673964827200 is a wasteful number, since it uses less digits than its factorization.

673964827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 673964827200 in words is "six hundred seventy-three billion, nine hundred sixty-four million, eight hundred twenty-seven thousand, two hundred".