4717175680 has 256 divisors, whose sum is σ = 13494159360. Its totient is φ = 1543127040.

The previous prime is 4717175677. The next prime is 4717175681. The reversal of 4717175680 is 865717174.

It is a self number, because there is not a number n which added to its sum of digits gives 4717175680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4717175681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9053820 + ... + 9054340.

It is an arithmetic number, because the mean of its divisors is an integer number (52711560).

Almost surely, 2^4717175680 is an apocalyptic number.

4717175680 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 4717175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747079680).

4717175680 is an abundant number, since it is smaller than the sum of its proper divisors (8776983680).

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

4717175680 is a wasteful number, since it uses less digits than its factorization.

4717175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The square root of 4717175680 is about 68681.6982900103. The cubic root of 4717175680 is about 1677.1066600866.

The spelling of 4717175680 in words is "four billion, seven hundred seventeen million, one hundred seventy-five thousand, six hundred eighty".