10673804160 has 192 divisors, whose sum is σ = 38223647280. Its totient is φ = 2846306304.

The previous prime is 10673804069. The next prime is 10673804171. The reversal of 10673804160 is 6140837601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10673804160² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121204 + ... + 189836.

Almost surely, 2^10673804160 is an apocalyptic number.

10673804160 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 10673804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111823640).

10673804160 is an abundant number, since it is smaller than the sum of its proper divisors (27549843120).

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

10673804160 is an frugal number, since it uses more digits than its factorization.

10673804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68667 (or 68643 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10673804160 in words is "ten billion, six hundred seventy-three million, eight hundred four thousand, one hundred sixty".