4656666564 has 96 divisors (see below), whose sum is σ = 13450752000. Its totient is φ = 1381070880.

The previous prime is 4656666557. The next prime is 4656666589.

4656666564 is nontrivially palindromic in base 10.

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 4656666564.

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, 14137 + ... + 97535.

It is an arithmetic number, because the mean of its divisors is an integer number (140112000).

Almost surely, 2^4656666564 is an apocalyptic number.

4656666564 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 4656666564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725376000).

4656666564 is an abundant number, since it is smaller than the sum of its proper divisors (8794085436).

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

4656666564 is a wasteful number, since it uses less digits than its factorization.

4656666564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83470 (or 83462 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The square root of 4656666564 is about 68239.7725963386. The cubic root of 4656666564 is about 1669.9048033990.

The spelling of 4656666564 in words is "four billion, six hundred fifty-six million, six hundred sixty-six thousand, five hundred sixty-four".