4560457680 has 160 divisors (see below), whose sum is σ = 15735004800. Its totient is φ = 1214051328.

The previous prime is 4560457673. The next prime is 4560457697. The reversal of 4560457680 is 867540654.

4560457680 is a `hidden beast` number, since 4 + 560 + 4 + 5 + 7 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594812 + ... + 1597668.

It is an arithmetic number, because the mean of its divisors is an integer number (98343780).

Almost surely, 2^4560457680 is an apocalyptic number.

4560457680 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 4560457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867502400).

4560457680 is an abundant number, since it is smaller than the sum of its proper divisors (11174547120).

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

4560457680 is a wasteful number, since it uses less digits than its factorization.

4560457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4560457680 is about 67531.1608074376. The cubic root of 4560457680 is about 1658.3243457899.

The spelling of 4560457680 in words is "four billion, five hundred sixty million, four hundred fifty-seven thousand, six hundred eighty".