4517992080 has 960 divisors, whose sum is σ = 20030146560. Its totient is φ = 940584960.

The previous prime is 4517992079. The next prime is 4517992081. The reversal of 4517992080 is 802997154.

It is an interprime number because it is at equal distance from previous prime (4517992079) and next prime (4517992081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4517992081) 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 191 ways as a sum of consecutive naturals, for example, 145741665 + ... + 145741695.

It is an arithmetic number, because the mean of its divisors is an integer number (20864736).

Almost surely, 2^4517992080 is an apocalyptic number.

4517992080 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 4517992080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015073280).

4517992080 is an abundant number, since it is smaller than the sum of its proper divisors (15512154480).

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

4517992080 is a wasteful number, since it uses less digits than its factorization.

4517992080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 4517992080 is about 67216.0105927152. The cubic root of 4517992080 is about 1653.1610147468.

The spelling of 4517992080 in words is "four billion, five hundred seventeen million, nine hundred ninety-two thousand, eighty".