10673434800 has 810 divisors, whose sum is σ = 45281078388. Its totient is φ = 2410248960.

The previous prime is 10673434787. The next prime is 10673434817. The reversal of 10673434800 is 843437601.

10673434800 is a `hidden beast` number, since 106 + 73 + 4 + 3 + 480 + 0 = 666.

10673434800 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 (810).

It is a super-2 number, since 2×10673434800² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 128595559 + ... + 128595641.

Almost surely, 2^10673434800 is an apocalyptic number.

10673434800 is a gapful number since it is divisible by the number (10) 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 10673434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640539194).

10673434800 is an abundant number, since it is smaller than the sum of its proper divisors (34607643588).

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

10673434800 is an frugal number, since it uses more digits than its factorization.

10673434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10673434800 in words is "ten billion, six hundred seventy-three million, four hundred thirty-four thousand, eight hundred".