4475168640 has 384 divisors, whose sum is σ = 16249334400. Its totient is φ = 1133346816.

The previous prime is 4475168569. The next prime is 4475168647. The reversal of 4475168640 is 468615744.

4475168640 is a `hidden beast` number, since 447 + 5 + 168 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×4475168640⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4475168647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12193737 + ... + 12194103.

It is an arithmetic number, because the mean of its divisors is an integer number (42315975).

Almost surely, 2^4475168640 is an apocalyptic number.

4475168640 is a gapful number since it is divisible by the number (40) 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 4475168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124667200).

4475168640 is an abundant number, since it is smaller than the sum of its proper divisors (11774165760).

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

4475168640 is a wasteful number, since it uses less digits than its factorization.

4475168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4475168640 is about 66896.7012639637. The cubic root of 4475168640 is about 1647.9213051938.

The spelling of 4475168640 in words is "four billion, four hundred seventy-five million, one hundred sixty-eight thousand, six hundred forty".