4811719080 has 256 divisors, whose sum is σ = 16879104000. Its totient is φ = 1074677760.

The previous prime is 4811719067. The next prime is 4811719097. The reversal of 4811719080 is 809171184.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8032621 + ... + 8033219.

It is an arithmetic number, because the mean of its divisors is an integer number (65934000).

Almost surely, 2^4811719080 is an apocalyptic number.

4811719080 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 4811719080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439552000).

4811719080 is an abundant number, since it is smaller than the sum of its proper divisors (12067384920).

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

4811719080 is a wasteful number, since it uses less digits than its factorization.

4811719080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The square root of 4811719080 is about 69366.5559185405. Note that the first 3 decimals coincide. The cubic root of 4811719080 is about 1688.2370280644.

The spelling of 4811719080 in words is "four billion, eight hundred eleven million, seven hundred nineteen thousand, eighty".