4864261584 has 160 divisors (see below), whose sum is σ = 15965200384. Its totient is φ = 1241464320.

The previous prime is 4864261579. The next prime is 4864261627. The reversal of 4864261584 is 4851624684.

It is a super-2 number, since 2×4864261584² = 47322081515156378112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117447 + ... + 153369.

Almost surely, 2^4864261584 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 4864261584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982600192).

4864261584 is an abundant number, since it is smaller than the sum of its proper divisors (11100938800).

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

4864261584 is a wasteful number, since it uses less digits than its factorization.

4864261584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35985 (or 35979 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 4864261584 is about 69744.2584303540. The cubic root of 4864261584 is about 1694.3598066135.

The spelling of 4864261584 in words is "four billion, eight hundred sixty-four million, two hundred sixty-one thousand, five hundred eighty-four".