4829638656 has 104 divisors (see below), whose sum is σ = 13322497680. Its totient is φ = 1554251776.

The previous prime is 4829638651. The next prime is 4829638657. The reversal of 4829638656 is 6568369284.

It is a super-3 number, since 3×4829638656³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4829638596 and 4829638605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829638651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349576 + ... + 363128.

Almost surely, 2^4829638656 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 4829638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661248840).

4829638656 is an abundant number, since it is smaller than the sum of its proper divisors (8492859024).

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

4829638656 is a wasteful number, since it uses less digits than its factorization.

4829638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13609 (or 13587 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The square root of 4829638656 is about 69495.6017025538. The cubic root of 4829638656 is about 1690.3301825601.

The spelling of 4829638656 in words is "four billion, eight hundred twenty-nine million, six hundred thirty-eight thousand, six hundred fifty-six".