4791188880 has 800 divisors, whose sum is σ = 19289622528. Its totient is φ = 1094860800.

The previous prime is 4791188873. The next prime is 4791188881. The reversal of 4791188880 is 888811974.

It is a happy number.

4791188880 is a `hidden beast` number, since 479 + 1 + 18 + 88 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4791188881) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 78544050 + ... + 78544110.

Almost surely, 2^4791188880 is an apocalyptic number.

4791188880 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 4791188880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644811264).

4791188880 is an abundant number, since it is smaller than the sum of its proper divisors (14498433648).

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

4791188880 is a wasteful number, since it uses less digits than its factorization.

4791188880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The square root of 4791188880 is about 69218.4143129558. The cubic root of 4791188880 is about 1685.8325336128.

The spelling of 4791188880 in words is "four billion, seven hundred ninety-one million, one hundred eighty-eight thousand, eight hundred eighty".