10768400384 has 60 divisors (see below), whose sum is σ = 24612997584. Its totient is φ = 4614979584.

The previous prime is 10768400353. The next prime is 10768400459. The reversal of 10768400384 is 48300486701.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67742 + ... + 161634.

Almost surely, 2^10768400384 is an apocalyptic number.

10768400384 is a gapful number since it is divisible by the number (14) 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 10768400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306498792).

10768400384 is an abundant number, since it is smaller than the sum of its proper divisors (13844597200).

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

10768400384 is an frugal number, since it uses more digits than its factorization.

10768400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93928 (or 93902 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 10768400384 in words is "ten billion, seven hundred sixty-eight million, four hundred thousand, three hundred eighty-four".