4791840768000 has 2560 divisors, whose sum is σ = 21197894477760. Its totient is φ = 1061683200000.

The previous prime is 4791840767999. The next prime is 4791840768007. The reversal of 4791840768000 is 8670481974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791840768007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47443967950 + ... + 47443968050.

Almost surely, 2^{4791840768000} is an apocalyptic number.

4791840768000 is a gapful number since it is divisible by the number (40) 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 4791840768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598947238880).

4791840768000 is an abundant number, since it is smaller than the sum of its proper divisors (16406053709760).

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

4791840768000 is a wasteful number, since it uses less digits than its factorization.

4791840768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4791840768000 in words is "four trillion, seven hundred ninety-one billion, eight hundred forty million, seven hundred sixty-eight thousand".