4668392960 has 240 divisors, whose sum is σ = 14067412128. Its totient is φ = 1454407680.

The previous prime is 4668392947. The next prime is 4668392977. The reversal of 4668392960 is 692938664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2167244 + ... + 2169396.

Almost surely, 2^4668392960 is an apocalyptic number.

4668392960 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 4668392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033706064).

4668392960 is an abundant number, since it is smaller than the sum of its proper divisors (9399019168).

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

4668392960 is a wasteful number, since it uses less digits than its factorization.

4668392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The square root of 4668392960 is about 68325.6391115370. The cubic root of 4668392960 is about 1671.3053439376.

The spelling of 4668392960 in words is "four billion, six hundred sixty-eight million, three hundred ninety-two thousand, nine hundred sixty".