4864575744 has 432 divisors, whose sum is σ = 17112695040. Its totient is φ = 1358622720.

The previous prime is 4864575731. The next prime is 4864575761. The reversal of 4864575744 is 4475754684.

4864575744 is a `hidden beast` number, since 4 + 8 + 64 + 5 + 7 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4864575744² = 47328194338226307072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (15052800) is a multiple of the sum of its prime divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17950329 + ... + 17950599.

It is an arithmetic number, because the mean of its divisors is an integer number (39612720).

Almost surely, 2^4864575744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4864575744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556347520).

4864575744 is an abundant number, since it is smaller than the sum of its proper divisors (12248119296).

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

4864575744 is a wasteful number, since it uses less digits than its factorization.

4864575744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 54.

The square root of 4864575744 is about 69746.5106223960. The cubic root of 4864575744 is about 1694.3962827644.

The spelling of 4864575744 in words is "four billion, eight hundred sixty-four million, five hundred seventy-five thousand, seven hundred forty-four".