4164473664 has 252 divisors, whose sum is σ = 13052145600. Its totient is φ = 1268886528.

The previous prime is 4164473659. The next prime is 4164473669. The reversal of 4164473664 is 4663744614.

It is an interprime number because it is at equal distance from previous prime (4164473659) and next prime (4164473669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164473669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17424457 + ... + 17424695.

Almost surely, 2^4164473664 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 4164473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526072800).

4164473664 is an abundant number, since it is smaller than the sum of its proper divisors (8887671936).

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

4164473664 is a wasteful number, since it uses less digits than its factorization.

4164473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4164473664 is about 64532.7332754471. The cubic root of 4164473664 is about 1608.8666153605.

The spelling of 4164473664 in words is "four billion, one hundred sixty-four million, four hundred seventy-three thousand, six hundred sixty-four".