35680066677 has 32 divisors (see below), whose sum is σ = 53215232000. Its totient is φ = 23627053296.

The previous prime is 35680066663. The next prime is 35680066729. The reversal of 35680066677 is 77666008653.

35680066677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35680066677 - 2⁴ = 35680066661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35680066637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2781324 + ... + 2794122.

It is an arithmetic number, because the mean of its divisors is an integer number (1662976000).

Almost surely, 2^35680066677 is an apocalyptic number.

It is an amenable number.

35680066677 is a deficient number, since it is larger than the sum of its proper divisors (17535165323).

35680066677 is a wasteful number, since it uses less digits than its factorization.

35680066677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13494 (or 13488 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 35680066677 in words is "thirty-five billion, six hundred eighty million, sixty-six thousand, six hundred seventy-seven".