4869633600 has 1008 divisors, whose sum is σ = 20749564800. Its totient is φ = 1107025920.

The previous prime is 4869633589. The next prime is 4869633641. The reversal of 4869633600 is 63369684.

4869633600 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 6 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167918386 + ... + 167918414.

Almost surely, 2^4869633600 is an apocalyptic number.

4869633600 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 4869633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374782400).

4869633600 is an abundant number, since it is smaller than the sum of its proper divisors (15879931200).

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

4869633600 is a wasteful number, since it uses less digits than its factorization.

4869633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4869633600 is about 69782.7600485965. The cubic root of 4869633600 is about 1694.9833188115.

The spelling of 4869633600 in words is "four billion, eight hundred sixty-nine million, six hundred thirty-three thousand, six hundred".