4517779320 has 128 divisors (see below), whose sum is σ = 15250176000. Its totient is φ = 1189468800.

The previous prime is 4517779289. The next prime is 4517779349. The reversal of 4517779320 is 239777154.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58845 + ... + 111795.

It is an arithmetic number, because the mean of its divisors is an integer number (119142000).

Almost surely, 2^4517779320 is an apocalyptic number.

4517779320 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 4517779320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625088000).

4517779320 is an abundant number, since it is smaller than the sum of its proper divisors (10732396680).

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

4517779320 is a wasteful number, since it uses less digits than its factorization.

4517779320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53050 (or 53040 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 4517779320 is about 67214.4279154409. The cubic root of 4517779320 is about 1653.1350642765.

The spelling of 4517779320 in words is "four billion, five hundred seventeen million, seven hundred seventy-nine thousand, three hundred twenty".