673963804800 has 3456 divisors, whose sum is σ = 3214653624000. Its totient is φ = 137952460800.

The previous prime is 673963804769. The next prime is 673963804817. The reversal of 673963804800 is 8408369376.

673963804800 is a `hidden beast` number, since 6 + 73 + 96 + 3 + 8 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 431 ways as a sum of consecutive naturals, for example, 23240131186 + ... + 23240131214.

Almost surely, 2^673963804800 is an apocalyptic number.

673963804800 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 673963804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607326812000).

673963804800 is an abundant number, since it is smaller than the sum of its proper divisors (2540689819200).

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

673963804800 is a wasteful number, since it uses less digits than its factorization.

673963804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 673963804800 in words is "six hundred seventy-three billion, nine hundred sixty-three million, eight hundred four thousand, eight hundred".