4635241664256 has 864 divisors, whose sum is σ = 16915056657408. Its totient is φ = 1189456773120.

The previous prime is 4635241664227. The next prime is 4635241664359. The reversal of 4635241664256 is 6524661425364.

4635241664256 is a `hidden beast` number, since 4 + 6 + 3 + 52 + 4 + 166 + 425 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4773677851 + ... + 4773678821.

It is an arithmetic number, because the mean of its divisors is an integer number (19577611872).

Almost surely, 2^{4635241664256} is an apocalyptic number.

4635241664256 is a gapful number since it is divisible by the number (46) 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 4635241664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457528328704).

4635241664256 is an abundant number, since it is smaller than the sum of its proper divisors (12279814993152).

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

4635241664256 is a wasteful number, since it uses less digits than its factorization.

4635241664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1780 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 4635241664256 in words is "four trillion, six hundred thirty-five billion, two hundred forty-one million, six hundred sixty-four thousand, two hundred fifty-six".