4869656064 has 640 divisors, whose sum is σ = 18332160000. Its totient is φ = 1268047872.

The previous prime is 4869656063. The next prime is 4869656089. The reversal of 4869656064 is 4606569684.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4869656064 = 504³ + 1680³ = 1302³ + 1386³.

It is a self number, because there is not a number n which added to its sum of digits gives 4869656064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4869656063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61641177 + ... + 61641255.

It is an arithmetic number, because the mean of its divisors is an integer number (28644000).

Almost surely, 2^4869656064 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 4869656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166080000).

4869656064 is an abundant number, since it is smaller than the sum of its proper divisors (13462503936).

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

4869656064 is an equidigital number, since it uses as much as digits as its factorization.

4869656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 4869656064 is about 69782.9210050711. The cubic root of 4869656064 is about 1694.9859251709.

The spelling of 4869656064 in words is "four billion, eight hundred sixty-nine million, six hundred fifty-six thousand, sixty-four".