673736637376 has 112 divisors (see below), whose sum is σ = 1474990732512. Its totient is φ = 302787072000.

The previous prime is 673736637373. The next prime is 673736637377.

It is a happy number.

673736637376 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673736637373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53819470 + ... + 53831986.

Almost surely, 2^673736637376 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 673736637376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737495366256).

673736637376 is an abundant number, since it is smaller than the sum of its proper divisors (801254095136).

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

673736637376 is a wasteful number, since it uses less digits than its factorization.

673736637376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13398 (or 13388 counting only the distinct ones).

The product of its digits is 252047376, while the sum is 64.

The spelling of 673736637376 in words is "six hundred seventy-three billion, seven hundred thirty-six million, six hundred thirty-seven thousand, three hundred seventy-six".