673100198400 has 480 divisors, whose sum is σ = 2566457486208. Its totient is φ = 152322048000.

The previous prime is 673100198387. The next prime is 673100198447. The reversal of 673100198400 is 4891001376.

673100198400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×673100198400² (a number of 24 digits) contains 22 as substring.

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, 27136404 + ... + 27161196.

Almost surely, 2^673100198400 is an apocalyptic number.

673100198400 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 673100198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283228743104).

673100198400 is an abundant number, since it is smaller than the sum of its proper divisors (1893357287808).

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

673100198400 is a wasteful number, since it uses less digits than its factorization.

673100198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24932 (or 24911 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 673100198400 its reverse (4891001376), we get a palindrome (677991199776).

The spelling of 673100198400 in words is "six hundred seventy-three billion, one hundred million, one hundred ninety-eight thousand, four hundred".