673148361600 has 2160 divisors, whose sum is σ = 2979888024960. Its totient is φ = 149448499200.

The previous prime is 673148361577. The next prime is 673148361617. The reversal of 673148361600 is 6163841376.

673148361600 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 4 + 8 + 36 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 5300380737 + ... + 5300380863.

Almost surely, 2^673148361600 is an apocalyptic number.

673148361600 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 673148361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489944012480).

673148361600 is an abundant number, since it is smaller than the sum of its proper divisors (2306739663360).

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

673148361600 is a wasteful number, since it uses less digits than its factorization.

673148361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 673148361600 in words is "six hundred seventy-three billion, one hundred forty-eight million, three hundred sixty-one thousand, six hundred".