4788319640832 has 432 divisors, whose sum is σ = 17002527429888. Its totient is φ = 1262062632960.

The previous prime is 4788319640779. The next prime is 4788319640861. The reversal of 4788319640832 is 2380469138874.

4788319640832 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 3 + 196 + 408 + 32 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4788319640832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383888548 + ... + 383901020.

It is an arithmetic number, because the mean of its divisors is an integer number (39357702384).

Almost surely, 2^{4788319640832} is an apocalyptic number.

4788319640832 is a gapful number since it is divisible by the number (42) 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 4788319640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501263714944).

4788319640832 is an abundant number, since it is smaller than the sum of its proper divisors (12214207789056).

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

4788319640832 is a wasteful number, since it uses less digits than its factorization.

4788319640832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14329 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4788319640832 in words is "four trillion, seven hundred eighty-eight billion, three hundred nineteen million, six hundred forty thousand, eight hundred thirty-two".