4704850759680 has 1664 divisors, whose sum is σ = 18523685698560. Its totient is φ = 1142031384576.

The previous prime is 4704850759619. The next prime is 4704850759727. The reversal of 4704850759680 is 869570584074.

4704850759680 is a `hidden beast` number, since 4 + 7 + 0 + 48 + 507 + 5 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×4704850759680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28172758957 + ... + 28172759123.

Almost surely, 2^{4704850759680} is an apocalyptic number.

4704850759680 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 4704850759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261842849280).

4704850759680 is an abundant number, since it is smaller than the sum of its proper divisors (13818834938880).

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

4704850759680 is an equidigital number, since it uses as much as digits as its factorization.

4704850759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 4704850759680 in words is "four trillion, seven hundred four billion, eight hundred fifty million, seven hundred fifty-nine thousand, six hundred eighty".