673332945600 has 672 divisors, whose sum is σ = 2655508893696. Its totient is φ = 146117836800.

The previous prime is 673332945599. The next prime is 673332945601. The reversal of 673332945600 is 6549233376.

It is an interprime number because it is at equal distance from previous prime (673332945599) and next prime (673332945601).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 673332945600.

It is not an unprimeable number, because it can be changed into a prime (673332945601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55198702 + ... + 55210898.

Almost surely, 2^673332945600 is an apocalyptic number.

673332945600 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 673332945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327754446848).

673332945600 is an abundant number, since it is smaller than the sum of its proper divisors (1982175948096).

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

673332945600 is a wasteful number, since it uses less digits than its factorization.

673332945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 48.

The spelling of 673332945600 in words is "six hundred seventy-three billion, three hundred thirty-two million, nine hundred forty-five thousand, six hundred".