35668856761 has 2 divisors, whose sum is σ = 35668856762. Its totient is φ = 35668856760.

The previous prime is 35668856759. The next prime is 35668856779. The reversal of 35668856761 is 16765886653.

35668856761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26976091536 + 8692765225 = 164244^2 + 93235^2 .

It is a cyclic number.

It is not a de Polignac number, because 35668856761 - 2¹ = 35668856759 is a prime.

It is a super-2 number, since 2×35668856761² (a number of 22 digits) contains 22 as substring.

Together with 35668856759, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 35668856761.

It is not a weakly prime, because it can be changed into another prime (35668856701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17834428380 + 17834428381.

It is an arithmetic number, because the mean of its divisors is an integer number (17834428381).

Almost surely, 2^35668856761 is an apocalyptic number.

It is an amenable number.

35668856761 is a deficient number, since it is larger than the sum of its proper divisors (1).

35668856761 is an equidigital number, since it uses as much as digits as its factorization.

35668856761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43545600, while the sum is 61.

It can be divided in two parts, 356688 and 56761, that added together give a square (413449 = 643²).

The spelling of 35668856761 in words is "thirty-five billion, six hundred sixty-eight million, eight hundred fifty-six thousand, seven hundred sixty-one".