4116564660 has 96 divisors (see below), whose sum is σ = 12430978560. Its totient is φ = 1011843072.

The previous prime is 4116564619. The next prime is 4116564689. The reversal of 4116564660 is 664656114.

It is a happy number.

It is a super-2 number, since 2×4116564660² = 33892209199921831200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 596389 + ... + 603251.

It is an arithmetic number, because the mean of its divisors is an integer number (129489360).

Almost surely, 2^4116564660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116564660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215489280).

4116564660 is an abundant number, since it is smaller than the sum of its proper divisors (8314413900).

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

4116564660 is a wasteful number, since it uses less digits than its factorization.

4116564660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4116564660 is about 64160.4602539601. The cubic root of 4116564660 is about 1602.6732212967.

The spelling of 4116564660 in words is "four billion, one hundred sixteen million, five hundred sixty-four thousand, six hundred sixty".