8650768896 has 840 divisors, whose sum is σ = 33651511344. Its totient is φ = 2194698240.

The previous prime is 8650768823. The next prime is 8650768897. The reversal of 8650768896 is 6988670568.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8650768897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 201180651 + ... + 201180693.

Almost surely, 2^8650768896 is an apocalyptic number.

8650768896 is a gapful number since it is divisible by the number (86) 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 8650768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825755672).

8650768896 is an abundant number, since it is smaller than the sum of its proper divisors (25000742448).

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

8650768896 is an equidigital number, since it uses as much as digits as its factorization.

8650768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The square root of 8650768896 is about 93009.5097073412. The cubic root of 8650768896 is about 2052.8233076691.

It can be divided in two parts, 86507 and 68896, that added together give a triangular number (155403 = T₅₅₇).

The spelling of 8650768896 in words is "eight billion, six hundred fifty million, seven hundred sixty-eight thousand, eight hundred ninety-six".