673461043200 has 960 divisors, whose sum is σ = 2714886504000. Its totient is φ = 162319564800.

The previous prime is 673461043193. The next prime is 673461043207. The reversal of 673461043200 is 2340164376.

It is a happy number.

673461043200 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 610 + 4 + 32 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (673461043193) and next prime (673461043207).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (673461043207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3892838314 + ... + 3892838486.

It is an arithmetic number, because the mean of its divisors is an integer number (2828006775).

Almost surely, 2^673461043200 is an apocalyptic number.

673461043200 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 673461043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357443252000).

673461043200 is an abundant number, since it is smaller than the sum of its proper divisors (2041425460800).

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

673461043200 is an equidigital number, since it uses as much as digits as its factorization.

673461043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 673461043200 in words is "six hundred seventy-three billion, four hundred sixty-one million, forty-three thousand, two hundred".