4791135744 has 240 divisors, whose sum is σ = 14523997488. Its totient is φ = 1576599552.

The previous prime is 4791135731. The next prime is 4791135751. The reversal of 4791135744 is 4475311974.

It is a happy number.

4791135744 is a `hidden beast` number, since 4 + 79 + 1 + 1 + 3 + 574 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4791135744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12068154 + ... + 12068550.

Almost surely, 2^4791135744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4791135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261998744).

4791135744 is an abundant number, since it is smaller than the sum of its proper divisors (9732861744).

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

4791135744 is an frugal number, since it uses more digits than its factorization.

4791135744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 499 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 4791135744 is about 69218.0304833936. The cubic root of 4791135744 is about 1685.8263014277.

The spelling of 4791135744 in words is "four billion, seven hundred ninety-one million, one hundred thirty-five thousand, seven hundred forty-four".