4664854656 has 384 divisors, whose sum is σ = 17139133440. Its totient is φ = 1182504960.

The previous prime is 4664854643. The next prime is 4664854697. The reversal of 4664854656 is 6564584664.

4664854656 is a `hidden beast` number, since 4 + 6 + 6 + 48 + 546 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3813661 + ... + 3814883.

It is an arithmetic number, because the mean of its divisors is an integer number (44633160).

Almost surely, 2^4664854656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664854656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8569566720).

4664854656 is an abundant number, since it is smaller than the sum of its proper divisors (12474278784).

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

4664854656 is a wasteful number, since it uses less digits than its factorization.

4664854656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The square root of 4664854656 is about 68299.7412586607. The cubic root of 4664854656 is about 1670.8829943848.

The spelling of 4664854656 in words is "four billion, six hundred sixty-four million, eight hundred fifty-four thousand, six hundred fifty-six".