4643976960 has 648 divisors, whose sum is σ = 19720144080. Its totient is φ = 1003290624.

The previous prime is 4643976959. The next prime is 4643976983. The reversal of 4643976960 is 696793464.

4643976960 is a `hidden beast` number, since 464 + 3 + 97 + 6 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4643976897 and 4643976906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10724904 + ... + 10725336.

Almost surely, 2^4643976960 is an apocalyptic number.

4643976960 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 4643976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9860072040).

4643976960 is an abundant number, since it is smaller than the sum of its proper divisors (15076167120).

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

4643976960 is a wasteful number, since it uses less digits than its factorization.

4643976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 4643976960 is about 68146.7311028196. The cubic root of 4643976960 is about 1668.3865708583.

The spelling of 4643976960 in words is "four billion, six hundred forty-three million, nine hundred seventy-six thousand, nine hundred sixty".