4963853664 has 1080 divisors, whose sum is σ = 20804386680. Its totient is φ = 1149603840.

The previous prime is 4963853621. The next prime is 4963853753. The reversal of 4963853664 is 4663583694.

4963853664 is a `hidden beast` number, since 49 + 6 + 3 + 8 + 536 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4963853664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 261255447 + ... + 261255465.

It is an arithmetic number, because the mean of its divisors is an integer number (19263321).

Almost surely, 2^4963853664 is an apocalyptic number.

4963853664 is a gapful number since it is divisible by the number (44) 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 4963853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402193340).

4963853664 is an abundant number, since it is smaller than the sum of its proper divisors (15840533016).

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

4963853664 is a wasteful number, since it uses less digits than its factorization.

4963853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 4963853664 is about 70454.6213104577. The cubic root of 4963853664 is about 1705.8453525637.

The spelling of 4963853664 in words is "four billion, nine hundred sixty-three million, eight hundred fifty-three thousand, six hundred sixty-four".