4717480320 has 384 divisors, whose sum is σ = 19430461440. Its totient is φ = 1031196672.

The previous prime is 4717480309. The next prime is 4717480321. The reversal of 4717480320 is 230847174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4717480321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924817 + ... + 929903.

It is an arithmetic number, because the mean of its divisors is an integer number (50600160).

Almost surely, 2^4717480320 is an apocalyptic number.

4717480320 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 4717480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9715230720).

4717480320 is an abundant number, since it is smaller than the sum of its proper divisors (14712981120).

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

4717480320 is a wasteful number, since it uses less digits than its factorization.

4717480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4717480320 is about 68683.9160211472. The cubic root of 4717480320 is about 1677.1427623937.

The spelling of 4717480320 in words is "four billion, seven hundred seventeen million, four hundred eighty thousand, three hundred twenty".