4515367680 has 288 divisors, whose sum is σ = 16231158720. Its totient is φ = 1203351552.

The previous prime is 4515367673. The next prime is 4515367757. The reversal of 4515367680 is 867635154.

4515367680 is a `hidden beast` number, since 4 + 51 + 536 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798554 + ... + 2800166.

It is an arithmetic number, because the mean of its divisors is an integer number (56358190).

Almost surely, 2^4515367680 is an apocalyptic number.

4515367680 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 4515367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115579360).

4515367680 is an abundant number, since it is smaller than the sum of its proper divisors (11715791040).

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

4515367680 is an frugal number, since it uses more digits than its factorization.

4515367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4515367680 is about 67196.4856223895. The cubic root of 4515367680 is about 1652.8408580623.

The spelling of 4515367680 in words is "four billion, five hundred fifteen million, three hundred sixty-seven thousand, six hundred eighty".