4664774664 has 256 divisors, whose sum is σ = 14985216000. Its totient is φ = 1329696000.

The previous prime is 4664774659. The next prime is 4664774669.

4664774664 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4664774659) and next prime (4664774669).

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 4664774664.

It is not an unprimeable number, because it can be changed into a prime (4664774669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8622234 + ... + 8622774.

It is an arithmetic number, because the mean of its divisors is an integer number (58536000).

Almost surely, 2^4664774664 is an apocalyptic number.

4664774664 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 4664774664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492608000).

4664774664 is an abundant number, since it is smaller than the sum of its proper divisors (10320441336).

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

4664774664 is a wasteful number, since it uses less digits than its factorization.

4664774664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The square root of 4664774664 is about 68299.1556609597. The cubic root of 4664774664 is about 1670.8734436738.

The spelling of 4664774664 in words is "four billion, six hundred sixty-four million, seven hundred seventy-four thousand, six hundred sixty-four".