4869688320 has 528 divisors, whose sum is σ = 19946754048. Its totient is φ = 1074954240.

The previous prime is 4869688309. The next prime is 4869688321. The reversal of 4869688320 is 238869684.

4869688320 is a `hidden beast` number, since 486 + 9 + 68 + 83 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (4869688321) 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, 9999117 + ... + 9999603.

Almost surely, 2^4869688320 is an apocalyptic number.

4869688320 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 4869688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973377024).

4869688320 is an abundant number, since it is smaller than the sum of its proper divisors (15077065728).

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

4869688320 is a wasteful number, since it uses less digits than its factorization.

4869688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4869688320 is about 69783.1521214111. The cubic root of 4869688320 is about 1694.9896676218.

The spelling of 4869688320 in words is "four billion, eight hundred sixty-nine million, six hundred eighty-eight thousand, three hundred twenty".