4506077664 has 288 divisors, whose sum is σ = 15284505600. Its totient is φ = 1243238400.

The previous prime is 4506077659. The next prime is 4506077687. The reversal of 4506077664 is 4667706054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1668187 + ... + 1670885.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^4506077664 is an apocalyptic number.

4506077664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4506077664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642252800).

4506077664 is an abundant number, since it is smaller than the sum of its proper divisors (10778427936).

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

4506077664 is a wasteful number, since it uses less digits than its factorization.

4506077664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4506077664 is about 67127.3242726090. The cubic root of 4506077664 is about 1651.7065495059.

The spelling of 4506077664 in words is "four billion, five hundred six million, seventy-seven thousand, six hundred sixty-four".