4565011680 has 144 divisors (see below), whose sum is σ = 15611778000. Its totient is φ = 1214705664.

The previous prime is 4565011663. The next prime is 4565011681. The reversal of 4565011680 is 861105654.

4565011680 is a `hidden beast` number, since 4 + 565 + 0 + 1 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4565011681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715384 + ... + 721736.

It is an arithmetic number, because the mean of its divisors is an integer number (108415125).

Almost surely, 2^4565011680 is an apocalyptic number.

4565011680 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 4565011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805889000).

4565011680 is an abundant number, since it is smaller than the sum of its proper divisors (11046766320).

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

4565011680 is a wasteful number, since it uses less digits than its factorization.

4565011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4565011680 is about 67564.8701619414. The cubic root of 4565011680 is about 1658.8761541991.

The spelling of 4565011680 in words is "four billion, five hundred sixty-five million, eleven thousand, six hundred eighty".