4617880080 has 320 divisors, whose sum is σ = 16828922880. Its totient is φ = 1035417600.

The previous prime is 4617880031. The next prime is 4617880081. The reversal of 4617880080 is 800887164.

It is not an unprimeable number, because it can be changed into a prime (4617880081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2155810 + ... + 2157950.

It is an arithmetic number, because the mean of its divisors is an integer number (52590384).

Almost surely, 2^4617880080 is an apocalyptic number.

4617880080 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 4617880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414461440).

4617880080 is an abundant number, since it is smaller than the sum of its proper divisors (12211042800).

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

4617880080 is a wasteful number, since it uses less digits than its factorization.

4617880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 4617880080 is about 67954.9856890574. The cubic root of 4617880080 is about 1665.2555262580.

The spelling of 4617880080 in words is "four billion, six hundred seventeen million, eight hundred eighty thousand, eighty".