4716420880 has 80 divisors (see below), whose sum is σ = 11069023680. Its totient is φ = 1868880384.

The previous prime is 4716420827. The next prime is 4716420911. The reversal of 4716420880 is 880246174.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5340919 + ... + 5341801.

It is an arithmetic number, because the mean of its divisors is an integer number (138362796).

Almost surely, 2^4716420880 is an apocalyptic number.

4716420880 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 4716420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534511840).

4716420880 is an abundant number, since it is smaller than the sum of its proper divisors (6352602800).

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

4716420880 is a wasteful number, since it uses less digits than its factorization.

4716420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 4716420880 is about 68676.2031565520. The cubic root of 4716420880 is about 1677.0172034769.

The spelling of 4716420880 in words is "four billion, seven hundred sixteen million, four hundred twenty thousand, eight hundred eighty".