673726442400 has 1728 divisors, whose sum is σ = 2918729189376. Its totient is φ = 149796864000.

The previous prime is 673726442339. The next prime is 673726442401. The reversal of 673726442400 is 4244627376.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (673726442401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1563170185 + ... + 1563170615.

It is an arithmetic number, because the mean of its divisors is an integer number (1689079392).

Almost surely, 2^673726442400 is an apocalyptic number.

673726442400 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 673726442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459364594688).

673726442400 is an abundant number, since it is smaller than the sum of its proper divisors (2245002746976).

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

673726442400 is a wasteful number, since it uses less digits than its factorization.

673726442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 673726442400 in words is "six hundred seventy-three billion, seven hundred twenty-six million, four hundred forty-two thousand, four hundred".