673883624040 has 576 divisors, whose sum is σ = 2394546960960. Its totient is φ = 150438850560.

The previous prime is 673883624039. The next prime is 673883624107. The reversal of 673883624040 is 40426388376.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 652355364 + ... + 652356396.

It is an arithmetic number, because the mean of its divisors is an integer number (4157199585).

Almost surely, 2^673883624040 is an apocalyptic number.

673883624040 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 673883624040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197273480480).

673883624040 is an abundant number, since it is smaller than the sum of its proper divisors (1720663336920).

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

673883624040 is a wasteful number, since it uses less digits than its factorization.

673883624040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 673883624040 in words is "six hundred seventy-three billion, eight hundred eighty-three million, six hundred twenty-four thousand, forty".