4791138660 has 864 divisors, whose sum is σ = 20077424640. Its totient is φ = 947116800.

The previous prime is 4791138631. The next prime is 4791138673. The reversal of 4791138660 is 668311974.

It is a happy number.

4791138660 is a `hidden beast` number, since 479 + 113 + 8 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81205711 + ... + 81205769.

It is an arithmetic number, because the mean of its divisors is an integer number (23237760).

Almost surely, 2^4791138660 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 4791138660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

4791138660 is an abundant number, since it is smaller than the sum of its proper divisors (15286285980).

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

4791138660 is a wasteful number, since it uses less digits than its factorization.

4791138660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4791138660 is about 69218.0515472662. The cubic root of 4791138660 is about 1685.8266434390.

The spelling of 4791138660 in words is "four billion, seven hundred ninety-one million, one hundred thirty-eight thousand, six hundred sixty".