4691664320 has 112 divisors (see below), whose sum is σ = 12854635200. Its totient is φ = 1597661184.

The previous prime is 4691664287. The next prime is 4691664421. The reversal of 4691664320 is 234661964.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4691664320² = 44023428183122124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326732 + ... + 340788.

Almost surely, 2^4691664320 is an apocalyptic number.

4691664320 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 4691664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427317600).

4691664320 is an abundant number, since it is smaller than the sum of its proper divisors (8162970880).

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

4691664320 is a wasteful number, since it uses less digits than its factorization.

4691664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14230 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 4691664320 is about 68495.7248300943. The cubic root of 4691664320 is about 1674.0778254988.

It can be divided in two parts, 46916643 and 20, that multiplied together give a triangular number (938332860 = T₄₃₃₂₀).

The spelling of 4691664320 in words is "four billion, six hundred ninety-one million, six hundred sixty-four thousand, three hundred twenty".