4564105680 has 160 divisors (see below), whose sum is σ = 14377365504. Its totient is φ = 1197600768.

The previous prime is 4564105673. The next prime is 4564105681. The reversal of 4564105680 is 865014654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4564105681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4175214 + ... + 4176306.

Almost surely, 2^4564105680 is an apocalyptic number.

4564105680 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 4564105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188682752).

4564105680 is an abundant number, since it is smaller than the sum of its proper divisors (9813259824).

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

4564105680 is a wasteful number, since it uses less digits than its factorization.

4564105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 4564105680 is about 67558.1651615850. The cubic root of 4564105680 is about 1658.7664033858.

The spelling of 4564105680 in words is "four billion, five hundred sixty-four million, one hundred five thousand, six hundred eighty".