4002545664 has 360 divisors, whose sum is σ = 13322107260. Its totient is φ = 1189085184.

The previous prime is 4002545653. The next prime is 4002545669. The reversal of 4002545664 is 4665452004.

4002545664 is a `hidden beast` number, since 40 + 0 + 2 + 54 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3869835264 + 132710400 = 62208^2 + 11520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4002545669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138018802 + ... + 138018830.

Almost surely, 2^4002545664 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 4002545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661053630).

4002545664 is an abundant number, since it is smaller than the sum of its proper divisors (9319561596).

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

4002545664 is an frugal number, since it uses more digits than its factorization.

4002545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4002545664 is about 63265.6752433735. The cubic root of 4002545664 is about 1587.7377296986.

Adding to 4002545664 its reverse (4665452004), we get a palindrome (8667997668).

The spelling of 4002545664 in words is "four billion, two million, five hundred forty-five thousand, six hundred sixty-four".