10673020800 has 576 divisors, whose sum is σ = 42470719200. Its totient is φ = 2534031360.

The previous prime is 10673020793. The next prime is 10673020823. The reversal of 10673020800 is 802037601.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10673020800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10857109 + ... + 10858091.

Almost surely, 2^10673020800 is an apocalyptic number.

10673020800 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 10673020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21235359600).

10673020800 is an abundant number, since it is smaller than the sum of its proper divisors (31797698400).

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

10673020800 is a wasteful number, since it uses less digits than its factorization.

10673020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10673020800 in words is "ten billion, six hundred seventy-three million, twenty thousand, eight hundred".