673001982900 has 216 divisors, whose sum is σ = 2273401810680. Its totient is φ = 165541985280.

The previous prime is 673001982853. The next prime is 673001982907. The reversal of 673001982900 is 9289100376.

It can be written as a sum of positive squares in 12 ways, for example, as 339017391504 + 333984591396 = 582252^2 + 577914^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673001982907) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 16699174 + ... + 16739426.

Almost surely, 2^673001982900 is an apocalyptic number.

673001982900 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 673001982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136700905340).

673001982900 is an abundant number, since it is smaller than the sum of its proper divisors (1600399827780).

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

673001982900 is a wasteful number, since it uses less digits than its factorization.

673001982900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41715 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 673001982900 in words is "six hundred seventy-three billion, one million, nine hundred eighty-two thousand, nine hundred".