4564361000 has 64 divisors (see below), whose sum is σ = 10704854160. Its totient is φ = 1821600000.

The previous prime is 4564360973. The next prime is 4564361047. The reversal of 4564361000 is 1634654.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 628304356 + 3936056644 = 25066^2 + 62738^2 .

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 15 ways as a sum of consecutive naturals, for example, 456050 + ... + 465950.

Almost surely, 2^4564361000 is an apocalyptic number.

4564361000 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 4564361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352427080).

4564361000 is an abundant number, since it is smaller than the sum of its proper divisors (6140493160).

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

4564361000 is a wasteful number, since it uses less digits than its factorization.

4564361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 4564361000 is about 67560.0547661116. The cubic root of 4564361000 is about 1658.7973337491.

Adding to 4564361000 its reverse (1634654), we get a palindrome (4565995654).

The spelling of 4564361000 in words is "four billion, five hundred sixty-four million, three hundred sixty-one thousand".