4864608000 has 864 divisors, whose sum is σ = 21223587840. Its totient is φ = 1045094400.

The previous prime is 4864607989. The next prime is 4864608059. The reversal of 4864608000 is 8064684.

4864608000 is a `hidden beast` number, since 4 + 8 + 646 + 0 + 8 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 38303937 + ... + 38304063.

Almost surely, 2^4864608000 is an apocalyptic number.

4864608000 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 4864608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611793920).

4864608000 is an abundant number, since it is smaller than the sum of its proper divisors (16358979840).

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

4864608000 is a wasteful number, since it uses less digits than its factorization.

4864608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4864608000 is about 69746.7418593872. The cubic root of 4864608000 is about 1694.4000278204.

The spelling of 4864608000 in words is "four billion, eight hundred sixty-four million, six hundred eight thousand".