4735139785760 has 96 divisors (see below), whose sum is σ = 11304431055792. Its totient is φ = 1874142167040.

The previous prime is 4735139785693. The next prime is 4735139785823. The reversal of 4735139785760 is 675879315374.

It can be written as a sum of positive squares in 8 ways, for example, as 124826542864 + 4610313242896 = 353308^2 + 2147164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81932234 + ... + 81990006.

Almost surely, 2^{4735139785760} is an apocalyptic number.

4735139785760 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 4735139785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652215527896).

4735139785760 is an abundant number, since it is smaller than the sum of its proper divisors (6569291270032).

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

4735139785760 is a wasteful number, since it uses less digits than its factorization.

4735139785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63166 (or 63158 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 65.

The spelling of 4735139785760 in words is "four trillion, seven hundred thirty-five billion, one hundred thirty-nine million, seven hundred eighty-five thousand, seven hundred sixty".