4735056755968 has 576 divisors, whose sum is σ = 12751341926400. Its totient is φ = 1699184148480.

The previous prime is 4735056755909. The next prime is 4735056755969. The reversal of 4735056755968 is 8695576505374.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4735056755897 and 4735056755906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735056755969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4332164830 + ... + 4332165922.

It is an arithmetic number, because the mean of its divisors is an integer number (22137746400).

Almost surely, 2^{4735056755968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735056755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375670963200).

4735056755968 is an abundant number, since it is smaller than the sum of its proper divisors (8016285170432).

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

4735056755968 is a wasteful number, since it uses less digits than its factorization.

4735056755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 952560000, while the sum is 70.

The spelling of 4735056755968 in words is "four trillion, seven hundred thirty-five billion, fifty-six million, seven hundred fifty-five thousand, nine hundred sixty-eight".