4864884684 has 192 divisors, whose sum is σ = 13265731584. Its totient is φ = 1373760000.

The previous prime is 4864884677. The next prime is 4864884691.

It is a happy number.

4864884684 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4864884677) and next prime (4864884691).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17951469 + ... + 17951739.

It is an arithmetic number, because the mean of its divisors is an integer number (69092352).

Almost surely, 2^4864884684 is an apocalyptic number.

4864884684 is a gapful number since it is divisible by the number (44) 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 4864884684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632865792).

4864884684 is an abundant number, since it is smaller than the sum of its proper divisors (8400846900).

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

4864884684 is a wasteful number, since it uses less digits than its factorization.

4864884684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 60.

The square root of 4864884684 is about 69748.7253216860. The cubic root of 4864884684 is about 1694.4321513056.

The spelling of 4864884684 in words is "four billion, eight hundred sixty-four million, eight hundred eighty-four thousand, six hundred eighty-four".