4217580864 has 336 divisors, whose sum is σ = 15033028608. Its totient is φ = 1102823424.

The previous prime is 4217580853. The next prime is 4217580869. The reversal of 4217580864 is 4680857124.

4217580864 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 580 + 8 + 64 = 666.

4217580864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217580869) 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, 2535297 + ... + 2536959.

Almost surely, 2^4217580864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4217580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516514304).

4217580864 is an abundant number, since it is smaller than the sum of its proper divisors (10815447744).

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

4217580864 is a wasteful number, since it uses less digits than its factorization.

4217580864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4217580864 is about 64942.9046470821. The cubic root of 4217580864 is about 1615.6767399019.

The spelling of 4217580864 in words is "four billion, two hundred seventeen million, five hundred eighty thousand, eight hundred sixty-four".