4515840000 has 675 divisors, whose sum is σ = 18962951007. Its totient is φ = 1032192000.

The previous prime is 4515839971. The next prime is 4515840001. The reversal of 4515840000 is 485154.

The square root of 4515840000 is 67200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 354041856 + 4161798144 = 18816^2 + 64512^2 .

It is not an unprimeable number, because it can be changed into a prime (4515840001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 645119997 + ... + 645120003.

Almost surely, 2^4515840000 is an apocalyptic number.

4515840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4515840000 is the 67200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4515840000

4515840000 is an abundant number, since it is smaller than the sum of its proper divisors (14447111007).

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

4515840000 is an frugal number, since it uses more digits than its factorization.

4515840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The cubic root of 4515840000 is about 1652.8984866344.

It can be divided in two parts, 45158 and 40000, that added together give a palindrome (85158).

The spelling of 4515840000 in words is "four billion, five hundred fifteen million, eight hundred forty thousand".