4167483264 has 256 divisors, whose sum is σ = 14513049600. Its totient is φ = 1152092160.

The previous prime is 4167483247. The next prime is 4167483289. The reversal of 4167483264 is 4623847614.

4167483264 is a `hidden beast` number, since 4 + 167 + 483 + 2 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747174 + ... + 752730.

It is an arithmetic number, because the mean of its divisors is an integer number (56691600).

Almost surely, 2^4167483264 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 4167483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256524800).

4167483264 is an abundant number, since it is smaller than the sum of its proper divisors (10345566336).

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

4167483264 is a wasteful number, since it uses less digits than its factorization.

4167483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5600 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4167483264 is about 64556.0474626506. The cubic root of 4167483264 is about 1609.2540896170.

The spelling of 4167483264 in words is "four billion, one hundred sixty-seven million, four hundred eighty-three thousand, two hundred sixty-four".