4678625525760 has 840 divisors, whose sum is σ = 17539564331520. Its totient is φ = 1190897123328.

The previous prime is 4678625525677. The next prime is 4678625525773. The reversal of 4678625525760 is 675255268764.

4678625525760 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 6 + 2 + 5 + 52 + 576 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9767485201 + ... + 9767485679.

It is an arithmetic number, because the mean of its divisors is an integer number (20880433728).

Almost surely, 2^{4678625525760} is an apocalyptic number.

4678625525760 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 4678625525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769782165760).

4678625525760 is an abundant number, since it is smaller than the sum of its proper divisors (12860938805760).

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

4678625525760 is an frugal number, since it uses more digits than its factorization.

4678625525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 4678625525760 in words is "four trillion, six hundred seventy-eight billion, six hundred twenty-five million, five hundred twenty-five thousand, seven hundred sixty".