673982836800 has 1344 divisors, whose sum is σ = 2881868881920. Its totient is φ = 134010961920.

The previous prime is 673982836759. The next prime is 673982836801. The reversal of 673982836800 is 8638289376.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (673982836801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 733386741 + ... + 733387659.

It is an arithmetic number, because the mean of its divisors is an integer number (2144247680).

Almost surely, 2^673982836800 is an apocalyptic number.

673982836800 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 673982836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440934440960).

673982836800 is an abundant number, since it is smaller than the sum of its proper divisors (2207886045120).

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

673982836800 is a wasteful number, since it uses less digits than its factorization.

673982836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 673982836800 in words is "six hundred seventy-three billion, nine hundred eighty-two million, eight hundred thirty-six thousand, eight hundred".