10768793600 has 180 divisors, whose sum is σ = 27206571168. Its totient is φ = 4227072000.

The previous prime is 10768793573. The next prime is 10768793639. The reversal of 10768793600 is 639786701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24985385 + ... + 24985815.

Almost surely, 2^10768793600 is an apocalyptic number.

10768793600 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 10768793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603285584).

10768793600 is an abundant number, since it is smaller than the sum of its proper divisors (16437777568).

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

10768793600 is an frugal number, since it uses more digits than its factorization.

10768793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 10768793600 in words is "ten billion, seven hundred sixty-eight million, seven hundred ninety-three thousand, six hundred".