8001838768 has 160 divisors (see below), whose sum is σ = 19973721600. Its totient is φ = 3078109440.

The previous prime is 8001838763. The next prime is 8001838811. The reversal of 8001838768 is 8678381008.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8001838763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5009746 + ... + 5011342.

It is an arithmetic number, because the mean of its divisors is an integer number (124835760).

Almost surely, 2^8001838768 is an apocalyptic number.

8001838768 is a gapful number since it is divisible by the number (88) 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 8001838768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986860800).

8001838768 is an abundant number, since it is smaller than the sum of its proper divisors (11971882832).

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

8001838768 is a wasteful number, since it uses less digits than its factorization.

8001838768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The square root of 8001838768 is about 89452.9975350184. The cubic root of 8001838768 is about 2000.1532189283.

The spelling of 8001838768 in words is "eight billion, one million, eight hundred thirty-eight thousand, seven hundred sixty-eight".