4659473664 has 216 divisors, whose sum is σ = 14250032160. Its totient is φ = 1460146176.

The previous prime is 4659473617. The next prime is 4659473669. The reversal of 4659473664 is 4663749564.

It is a happy number.

4659473664 is a `hidden beast` number, since 46 + 594 + 7 + 3 + 6 + 6 + 4 = 666.

Its product of digits (13063680) is a multiple of the sum of its prime divisors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 4659473664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4659473669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7135162 + ... + 7135814.

Almost surely, 2^4659473664 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 4659473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125016080).

4659473664 is an abundant number, since it is smaller than the sum of its proper divisors (9590558496).

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

4659473664 is a wasteful number, since it uses less digits than its factorization.

4659473664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 4659473664 is about 68260.3374149293. The cubic root of 4659473664 is about 1670.2402828749.

The spelling of 4659473664 in words is "four billion, six hundred fifty-nine million, four hundred seventy-three thousand, six hundred sixty-four".