10083840768 has 144 divisors (see below), whose sum is σ = 31574158560. Its totient is φ = 3163521024.

The previous prime is 10083840761. The next prime is 10083840799. The reversal of 10083840768 is 86704838001.

10083840768 is a `hidden beast` number, since 100 + 83 + 8 + 407 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10083840761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74596 + ... + 160412.

It is an arithmetic number, because the mean of its divisors is an integer number (219264990).

Almost surely, 2^10083840768 is an apocalyptic number.

10083840768 is a gapful number since it is divisible by the number (18) 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 10083840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787079280).

10083840768 is an abundant number, since it is smaller than the sum of its proper divisors (21490317792).

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

10083840768 is an equidigital number, since it uses as much as digits as its factorization.

10083840768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85859 (or 85839 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10083840768 in words is "ten billion, eighty-three million, eight hundred forty thousand, seven hundred sixty-eight".