4867007684 has 72 divisors (see below), whose sum is σ = 10850603904. Its totient is φ = 1869436800.

The previous prime is 4867007683. The next prime is 4867007699.

4867007684 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×4867007684⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4867007683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 230432 + ... + 250664.

It is an arithmetic number, because the mean of its divisors is an integer number (150702832).

Almost surely, 2^4867007684 is an apocalyptic number.

4867007684 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 4867007684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425301952).

4867007684 is an abundant number, since it is smaller than the sum of its proper divisors (5983596220).

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

4867007684 is a wasteful number, since it uses less digits than its factorization.

4867007684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20337 (or 20324 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The square root of 4867007684 is about 69763.9425778102. The cubic root of 4867007684 is about 1694.6785947153.

The spelling of 4867007684 in words is "four billion, eight hundred sixty-seven million, seven thousand, six hundred eighty-four".