4678565760 has 384 divisors, whose sum is σ = 18064257120. Its totient is φ = 1105920000.

The previous prime is 4678565741. The next prime is 4678565761. The reversal of 4678565760 is 675658764.

4678565760 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 565 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4678565697 and 4678565706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678565761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2596860 + ... + 2598660.

Almost surely, 2^4678565760 is an apocalyptic number.

4678565760 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 4678565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032128560).

4678565760 is an abundant number, since it is smaller than the sum of its proper divisors (13385691360).

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

4678565760 is a wasteful number, since it uses less digits than its factorization.

4678565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 4678565760 is about 68400.0421052502. The cubic root of 4678565760 is about 1672.5184323681.

The spelling of 4678565760 in words is "four billion, six hundred seventy-eight million, five hundred sixty-five thousand, seven hundred sixty".