4663223664 has 160 divisors (see below), whose sum is σ = 13964106240. Its totient is φ = 1327334400.

The previous prime is 4663223563. The next prime is 4663223689.

4663223664 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 562429 + ... + 570659.

It is an arithmetic number, because the mean of its divisors is an integer number (87275664).

Almost surely, 2^4663223664 is an apocalyptic number.

4663223664 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 4663223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982053120).

4663223664 is an abundant number, since it is smaller than the sum of its proper divisors (9300882576).

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

4663223664 is a wasteful number, since it uses less digits than its factorization.

4663223664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8313 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 4663223664 is about 68287.8002574398. The cubic root of 4663223664 is about 1670.6882391590.

The spelling of 4663223664 in words is "four billion, six hundred sixty-three million, two hundred twenty-three thousand, six hundred sixty-four".