4560253680 has 80 divisors (see below), whose sum is σ = 14167664640. Its totient is φ = 1213411584.

The previous prime is 4560253679. The next prime is 4560253681. The reversal of 4560253680 is 863520654.

It is an interprime number because it is at equal distance from previous prime (4560253679) and next prime (4560253681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560253681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90601 + ... + 131639.

It is an arithmetic number, because the mean of its divisors is an integer number (177095808).

Almost surely, 2^4560253680 is an apocalyptic number.

4560253680 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 4560253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083832320).

4560253680 is an abundant number, since it is smaller than the sum of its proper divisors (9607410960).

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

4560253680 is a wasteful number, since it uses less digits than its factorization.

4560253680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41518 (or 41512 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 4560253680 is about 67529.6503767049. The cubic root of 4560253680 is about 1658.2996185049.

The spelling of 4560253680 in words is "four billion, five hundred sixty million, two hundred fifty-three thousand, six hundred eighty".