4475981664 has 432 divisors, whose sum is σ = 16312907520. Its totient is φ = 1139212800.

The previous prime is 4475981633. The next prime is 4475981701. The reversal of 4475981664 is 4661895744.

4475981664 is a `hidden beast` number, since 4 + 47 + 598 + 1 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4475981664.

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 71 ways as a sum of consecutive naturals, for example, 14392069 + ... + 14392379.

It is an arithmetic number, because the mean of its divisors is an integer number (37761360).

Almost surely, 2^4475981664 is an apocalyptic number.

4475981664 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 4475981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156453760).

4475981664 is an abundant number, since it is smaller than the sum of its proper divisors (11836925856).

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

4475981664 is a wasteful number, since it uses less digits than its factorization.

4475981664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4475981664 is about 66902.7777001822. Note that the first 4 decimals coincide. The cubic root of 4475981664 is about 1648.0210942409.

The spelling of 4475981664 in words is "four billion, four hundred seventy-five million, nine hundred eighty-one thousand, six hundred sixty-four".