4801567680 has 896 divisors, whose sum is σ = 21629583360. Its totient is φ = 975421440.

The previous prime is 4801567657. The next prime is 4801567681. The reversal of 4801567680 is 867651084.

It is a happy number.

4801567680 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 567 + 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 not an unprimeable number, because it can be changed into a prime (4801567681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24373342 + ... + 24373538.

It is an arithmetic number, because the mean of its divisors is an integer number (24140160).

Almost surely, 2^4801567680 is an apocalyptic number.

4801567680 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 4801567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814791680).

4801567680 is an abundant number, since it is smaller than the sum of its proper divisors (16828015680).

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

4801567680 is a wasteful number, since it uses less digits than its factorization.

4801567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4801567680 is about 69293.3451350128. The cubic root of 4801567680 is about 1687.0489540201.

The spelling of 4801567680 in words is "four billion, eight hundred one million, five hundred sixty-seven thousand, six hundred eighty".