4574887680 has 576 divisors, whose sum is σ = 17674288128. Its totient is φ = 994836480.

The previous prime is 4574887673. The next prime is 4574887693. The reversal of 4574887680 is 867884754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4574887680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16515702 + ... + 16515978.

It is an arithmetic number, because the mean of its divisors is an integer number (30684528).

Almost surely, 2^4574887680 is an apocalyptic number.

4574887680 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 4574887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837144064).

4574887680 is an abundant number, since it is smaller than the sum of its proper divisors (13099400448).

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

4574887680 is a wasteful number, since it uses less digits than its factorization.

4574887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The square root of 4574887680 is about 67637.9159939157. The cubic root of 4574887680 is about 1660.0715699534.

The spelling of 4574887680 in words is "four billion, five hundred seventy-four million, eight hundred eighty-seven thousand, six hundred eighty".