4663553664 has 256 divisors, whose sum is σ = 15596697600. Its totient is φ = 1199370240.

The previous prime is 4663553659. The next prime is 4663553677.

4663553664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3222189 + ... + 3223635.

It is an arithmetic number, because the mean of its divisors is an integer number (60924600).

Almost surely, 2^4663553664 is an apocalyptic number.

4663553664 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 4663553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798348800).

4663553664 is an abundant number, since it is smaller than the sum of its proper divisors (10933143936).

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

4663553664 is a wasteful number, since it uses less digits than its factorization.

4663553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1579 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The square root of 4663553664 is about 68290.2164588750. The cubic root of 4663553664 is about 1670.7276478138.

The spelling of 4663553664 in words is "four billion, six hundred sixty-three million, five hundred fifty-three thousand, six hundred sixty-four".