4164251664 has 40 divisors (see below), whose sum is σ = 10760596000. Its totient is φ = 1387703808.

The previous prime is 4164251657. The next prime is 4164251699. The reversal of 4164251664 is 4661524614.

It is a super-2 number, since 2×4164251664² = 34681983842253537792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206712 + ... + 225960.

It is an arithmetic number, because the mean of its divisors is an integer number (269014900).

Almost surely, 2^4164251664 is an apocalyptic number.

It is an amenable number.

4164251664 is an abundant number, since it is smaller than the sum of its proper divisors (6596344336).

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

4164251664 is a wasteful number, since it uses less digits than its factorization.

4164251664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23767 (or 23761 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 4164251664 is about 64531.0131952072. The cubic root of 4164251664 is about 1608.8380263346.

The spelling of 4164251664 in words is "four billion, one hundred sixty-four million, two hundred fifty-one thousand, six hundred sixty-four".