4842864000 has 576 divisors, whose sum is σ = 18927324000. Its totient is φ = 1186099200.

The previous prime is 4842863999. The next prime is 4842864011. The reversal of 4842864000 is 4682484.

4842864000 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24335901 + ... + 24336099.

Almost surely, 2^4842864000 is an apocalyptic number.

4842864000 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 4842864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463662000).

4842864000 is an abundant number, since it is smaller than the sum of its proper divisors (14084460000).

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

4842864000 is a wasteful number, since it uses less digits than its factorization.

4842864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4842864000 is about 69590.6890323698. The cubic root of 4842864000 is about 1691.8716935719.

The spelling of 4842864000 in words is "four billion, eight hundred forty-two million, eight hundred sixty-four thousand".