4167001664 has 56 divisors (see below), whose sum is σ = 9467697600. Its totient is φ = 1782544896.

The previous prime is 4167001651. The next prime is 4167001691. The reversal of 4167001664 is 4661007614.

4167001664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241187 + ... + 257885.

Almost surely, 2^4167001664 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 4167001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733848800).

4167001664 is an abundant number, since it is smaller than the sum of its proper divisors (5300695936).

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

4167001664 is a wasteful number, since it uses less digits than its factorization.

4167001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17275 (or 17265 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 4167001664 is about 64552.3172628218. The cubic root of 4167001664 is about 1609.1920980363.

The spelling of 4167001664 in words is "four billion, one hundred sixty-seven million, one thousand, six hundred sixty-four".