4768788846822 has 768 divisors, whose sum is σ = 14057787340800. Its totient is φ = 1040008273920.

The previous prime is 4768788846791. The next prime is 4768788846839. The reversal of 4768788846822 is 2286488878674.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6726077004 + ... + 6726077712.

It is an arithmetic number, because the mean of its divisors is an integer number (18304410600).

Almost surely, 2^{4768788846822} is an apocalyptic number.

4768788846822 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768788846822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028893670400).

4768788846822 is an abundant number, since it is smaller than the sum of its proper divisors (9288998493978).

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

4768788846822 is a wasteful number, since it uses less digits than its factorization.

4768788846822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 870 counting only the distinct ones).

The product of its digits is 3699376128, while the sum is 78.

The spelling of 4768788846822 in words is "four trillion, seven hundred sixty-eight billion, seven hundred eighty-eight million, eight hundred forty-six thousand, eight hundred twenty-two".