4864567680 has 768 divisors, whose sum is σ = 20896911360. Its totient is φ = 1017446400.

The previous prime is 4864567679. The next prime is 4864567691. The reversal of 4864567680 is 867654684.

4864567680 is a `hidden beast` number, since 48 + 6 + 456 + 76 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32215605 + ... + 32215755.

It is an arithmetic number, because the mean of its divisors is an integer number (27209520).

Almost surely, 2^4864567680 is an apocalyptic number.

4864567680 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 4864567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448455680).

4864567680 is an abundant number, since it is smaller than the sum of its proper divisors (16032343680).

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

4864567680 is a wasteful number, since it uses less digits than its factorization.

4864567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4864567680 is about 69746.4528130284. The cubic root of 4864567680 is about 1694.3953464978.

The spelling of 4864567680 in words is "four billion, eight hundred sixty-four million, five hundred sixty-seven thousand, six hundred eighty".