4635668665364 has 36 divisors (see below), whose sum is σ = 9008885191572. Its totient is φ = 2085399191040.

The previous prime is 4635668665363. The next prime is 4635668665387.

4635668665364 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2528259002500 + 2107409662864 = 1590050^2 + 1451692^2 .

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4635668665294 and 4635668665303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635668665361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49323299 + ... + 49417194.

It is an arithmetic number, because the mean of its divisors is an integer number (250246810877).

Almost surely, 2^{4635668665364} is an apocalyptic number.

4635668665364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4635668665364 is a deficient number, since it is larger than the sum of its proper divisors (4373216526208).

4635668665364 is a wasteful number, since it uses less digits than its factorization.

4635668665364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98740616 (or 98740603 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 68.

The spelling of 4635668665364 in words is "four trillion, six hundred thirty-five billion, six hundred sixty-eight million, six hundred sixty-five thousand, three hundred sixty-four".