673611852144 has 720 divisors, whose sum is σ = 2364524196480. Its totient is φ = 162945699840.

The previous prime is 673611852131. The next prime is 673611852209. The reversal of 673611852144 is 441258116376.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 673611852093 and 673611852102.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3893710042 + ... + 3893710214.

It is an arithmetic number, because the mean of its divisors is an integer number (3284061384).

Almost surely, 2^673611852144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673611852144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182262098240).

673611852144 is an abundant number, since it is smaller than the sum of its proper divisors (1690912344336).

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

673611852144 is a wasteful number, since it uses less digits than its factorization.

673611852144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 304 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 673611852144 in words is "six hundred seventy-three billion, six hundred eleven million, eight hundred fifty-two thousand, one hundred forty-four".