673893753984 has 384 divisors, whose sum is σ = 2173725590400. Its totient is φ = 198619545600.

The previous prime is 673893753971. The next prime is 673893753989. The reversal of 673893753984 is 489357398376.

673893753984 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 9 + 3 + 7 + 539 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (673893753989) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 186517362 + ... + 186520974.

It is an arithmetic number, because the mean of its divisors is an integer number (5660743725).

Almost surely, 2^673893753984 is an apocalyptic number.

673893753984 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 673893753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086862795200).

673893753984 is an abundant number, since it is smaller than the sum of its proper divisors (1499831836416).

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

673893753984 is a wasteful number, since it uses less digits than its factorization.

673893753984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4029 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 673893753984 in words is "six hundred seventy-three billion, eight hundred ninety-three million, seven hundred fifty-three thousand, nine hundred eighty-four".