4680000864 has 144 divisors (see below), whose sum is σ = 16592808960. Its totient is φ = 1215578880.

The previous prime is 4680000863. The next prime is 4680000917.

4680000864 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680000863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83344 + ... + 127695.

It is an arithmetic number, because the mean of its divisors is an integer number (115227840).

Almost surely, 2^4680000864 is an apocalyptic number.

4680000864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4680000864 is an abundant number, since it is smaller than the sum of its proper divisors (11912808096).

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

4680000864 is a wasteful number, since it uses less digits than its factorization.

4680000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211073 (or 211062 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4680000864 is about 68410.5318207657. The cubic root of 4680000864 is about 1672.6894244086.

It can be divided in two parts, 4680000 and 864, that added together give a palindrome (4680864).

The spelling of 4680000864 in words is "four billion, six hundred eighty million, eight hundred sixty-four", and thus it is an aban number.