4664550554664 has 576 divisors, whose sum is σ = 15944576256000. Its totient is φ = 1112590702080.

The previous prime is 4664550554663. The next prime is 4664550554669.

4664550554664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4664550554598 and 4664550554607.

It is not an unprimeable number, because it can be changed into a prime (4664550554663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 683647557 + ... + 683654379.

It is an arithmetic number, because the mean of its divisors is an integer number (27681556000).

Almost surely, 2^{4664550554664} is an apocalyptic number.

4664550554664 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 4664550554664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972288128000).

4664550554664 is an abundant number, since it is smaller than the sum of its proper divisors (11280025701336).

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

4664550554664 is a wasteful number, since it uses less digits than its factorization.

4664550554664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 60.

The spelling of 4664550554664 in words is "four trillion, six hundred sixty-four billion, five hundred fifty million, five hundred fifty-four thousand, six hundred sixty-four".