673746647376 has 240 divisors, whose sum is σ = 2066273375040. Its totient is φ = 186959093760.

The previous prime is 673746647263. The next prime is 673746647411.

673746647376 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12260730 + ... + 12315558.

It is an arithmetic number, because the mean of its divisors is an integer number (8609472396).

Almost surely, 2^673746647376 is an apocalyptic number.

673746647376 is a gapful number since it is divisible by the number (66) 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 673746647376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033136687520).

673746647376 is an abundant number, since it is smaller than the sum of its proper divisors (1392526727664).

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

673746647376 is a wasteful number, since it uses less digits than its factorization.

673746647376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54942 (or 54899 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 66.

The spelling of 673746647376 in words is "six hundred seventy-three billion, seven hundred forty-six million, six hundred forty-seven thousand, three hundred seventy-six".