673042137600 has 480 divisors, whose sum is σ = 2674730234880. Its totient is φ = 145740349440.

The previous prime is 673042137583. The next prime is 673042137629. The reversal of 673042137600 is 6731240376.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5041309 + ... + 5173091.

It is an arithmetic number, because the mean of its divisors is an integer number (5572354656).

Almost surely, 2^673042137600 is an apocalyptic number.

673042137600 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 673042137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337365117440).

673042137600 is an abundant number, since it is smaller than the sum of its proper divisors (2001688097280).

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

673042137600 is a wasteful number, since it uses less digits than its factorization.

673042137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131840 (or 131819 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

Adding to 673042137600 its reverse (6731240376), we get a palindrome (679773377976).

The spelling of 673042137600 in words is "six hundred seventy-three billion, forty-two million, one hundred thirty-seven thousand, six hundred".