4864043520 has 480 divisors, whose sum is σ = 19982971008. Its totient is φ = 1110786048.

The previous prime is 4864043501. The next prime is 4864043549. The reversal of 4864043520 is 253404684.

4864043520 is a `hidden beast` number, since 4 + 8 + 640 + 4 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354002 + ... + 4355118.

Almost surely, 2^4864043520 is an apocalyptic number.

4864043520 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 4864043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991485504).

4864043520 is an abundant number, since it is smaller than the sum of its proper divisors (15118927488).

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

4864043520 is an equidigital number, since it uses as much as digits as its factorization.

4864043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4864043520 is about 69742.6951013509. The cubic root of 4864043520 is about 1694.3344869501.

The spelling of 4864043520 in words is "four billion, eight hundred sixty-four million, forty-three thousand, five hundred twenty".