4600664000 has 112 divisors (see below), whose sum is σ = 11425342656. Its totient is φ = 1835136000.

The previous prime is 4600663999. The next prime is 4600664011. The reversal of 4600664000 is 4660064.

It is a super-2 number, since 2×4600664000² = 42332218481792000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327469 + ... + 4328531.

It is an arithmetic number, because the mean of its divisors is an integer number (102011988).

Almost surely, 2^4600664000 is an apocalyptic number.

4600664000 is a gapful number since it is divisible by the number (40) 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 4600664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712671328).

4600664000 is an abundant number, since it is smaller than the sum of its proper divisors (6824678656).

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

4600664000 is a wasteful number, since it uses less digits than its factorization.

4600664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4600664000 is about 67828.1947275615. The cubic root of 4600664000 is about 1663.1835167823.

The spelling of 4600664000 in words is "four billion, six hundred million, six hundred sixty-four thousand".