8236768000 has 72 divisors (see below), whose sum is σ = 20518898400. Its totient is φ = 3294694400.

The previous prime is 8236767991. The next prime is 8236768003. The reversal of 8236768000 is 8676328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8236768003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96700 + ... + 160699.

It is an arithmetic number, because the mean of its divisors is an integer number (284984700).

Almost surely, 2^8236768000 is an apocalyptic number.

8236768000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8236768000 is an abundant number, since it is smaller than the sum of its proper divisors (12282130400).

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

8236768000 is an equidigital number, since it uses as much as digits as its factorization.

8236768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257430 (or 257406 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 8236768000 is about 90756.6416302410. The cubic root of 8236768000 is about 2019.5391557274.

The spelling of 8236768000 in words is "eight billion, two hundred thirty-six million, seven hundred sixty-eight thousand".