35678401771968 has 84 divisors (see below), whose sum is σ = 102272191675680. Its totient is φ = 11892045275136.

The previous prime is 35678401771931. The next prime is 35678401772047. The reversal of 35678401771968 is 86917710487653.

35678401771968 is a `hidden beast` number, since 3 + 5 + 67 + 8 + 401 + 7 + 71 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35678401771896 and 35678401771905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7146921 + ... + 11065047.

Almost surely, 2^{35678401771968} is an apocalyptic number.

It is an amenable number.

35678401771968 is an abundant number, since it is smaller than the sum of its proper divisors (66593789903712).

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

35678401771968 is a wasteful number, since it uses less digits than its factorization.

35678401771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933954 (or 3933941 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 35678401771968 in words is "thirty-five trillion, six hundred seventy-eight billion, four hundred one million, seven hundred seventy-one thousand, nine hundred sixty-eight".