4520515680 has 288 divisors, whose sum is σ = 16494528960. Its totient is φ = 1124597760.

The previous prime is 4520515667. The next prime is 4520515709. The reversal of 4520515680 is 865150254.

4520515680 is a `hidden beast` number, since 4 + 520 + 5 + 1 + 56 + 80 = 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 (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1356256 + ... + 1359584.

It is an arithmetic number, because the mean of its divisors is an integer number (57272670).

Almost surely, 2^4520515680 is an apocalyptic number.

4520515680 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 4520515680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8247264480).

4520515680 is an abundant number, since it is smaller than the sum of its proper divisors (11974013280).

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

4520515680 is a wasteful number, since it uses less digits than its factorization.

4520515680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 4520515680 is about 67234.7802852066. The cubic root of 4520515680 is about 1653.4687576954.

The spelling of 4520515680 in words is "four billion, five hundred twenty million, five hundred fifteen thousand, six hundred eighty".