4718906880 has 320 divisors, whose sum is σ = 16133610240. Its totient is φ = 1173159936.

The previous prime is 4718906839. The next prime is 4718906891. The reversal of 4718906880 is 886098174.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4718906880² = 44536164284222668800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10651939 + ... + 10652381.

It is an arithmetic number, because the mean of its divisors is an integer number (50417532).

Almost surely, 2^4718906880 is an apocalyptic number.

4718906880 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 4718906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066805120).

4718906880 is an abundant number, since it is smaller than the sum of its proper divisors (11414703360).

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

4718906880 is a wasteful number, since it uses less digits than its factorization.

4718906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 4718906880 is about 68694.3002002350. The cubic root of 4718906880 is about 1677.3118006295.

The spelling of 4718906880 in words is "four billion, seven hundred eighteen million, nine hundred six thousand, eight hundred eighty".