4511200680 has 288 divisors, whose sum is σ = 17798227200. Its totient is φ = 986211072.

The previous prime is 4511200669. The next prime is 4511200709. The reversal of 4511200680 is 860021154.

4511200680 is a `hidden beast` number, since 451 + 1 + 200 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400161 + ... + 411279.

It is an arithmetic number, because the mean of its divisors is an integer number (61799400).

Almost surely, 2^4511200680 is an apocalyptic number.

4511200680 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 4511200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899113600).

4511200680 is an abundant number, since it is smaller than the sum of its proper divisors (13287026520).

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

4511200680 is a wasteful number, since it uses less digits than its factorization.

4511200680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4511200680 is about 67165.4723797875. The cubic root of 4511200680 is about 1652.3322610441.

The spelling of 4511200680 in words is "four billion, five hundred eleven million, two hundred thousand, six hundred eighty".