4791986520 has 512 divisors, whose sum is σ = 16930529280. Its totient is φ = 1077739520.

The previous prime is 4791986461. The next prime is 4791986527. The reversal of 4791986520 is 256891974.

It is a Smith number, since the sum of its digits (51) 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 (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791986527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90414814 + ... + 90414866.

It is an arithmetic number, because the mean of its divisors is an integer number (33067440).

Almost surely, 2^4791986520 is an apocalyptic number.

4791986520 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 4791986520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465264640).

4791986520 is an abundant number, since it is smaller than the sum of its proper divisors (12138542760).

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

4791986520 is a wasteful number, since it uses less digits than its factorization.

4791986520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 4791986520 is about 69224.1758347472. The cubic root of 4791986520 is about 1685.9260812257.

The spelling of 4791986520 in words is "four billion, seven hundred ninety-one million, nine hundred eighty-six thousand, five hundred twenty".