4678635605760 has 216 divisors, whose sum is σ = 16294800491424. Its totient is φ = 1239373209600.

The previous prime is 4678635605741. The next prime is 4678635605767. The reversal of 4678635605760 is 675065368764.

4678635605760 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 6 + 3 + 56 + 0 + 576 + 0 = 666.

It is a super-2 number, since 2×4678635605760² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678635605767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394714 + ... + 3084326.

It is an arithmetic number, because the mean of its divisors is an integer number (75438891164).

Almost surely, 2^{4678635605760} is an apocalyptic number.

4678635605760 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 4678635605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147400245712).

4678635605760 is an abundant number, since it is smaller than the sum of its proper divisors (11616164885664).

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

4678635605760 is a wasteful number, since it uses less digits than its factorization.

4678635605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689791 (or 2689774 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 4678635605760 in words is "four trillion, six hundred seventy-eight billion, six hundred thirty-five million, six hundred five thousand, seven hundred sixty".