35007835666968 has 64 divisors (see below), whose sum is σ = 97244687548800. Its totient is φ = 11669194605600.

The previous prime is 35007835666963. The next prime is 35007835666981. The reversal of 35007835666968 is 86966653870053.

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 = 35007835666896 and 35007835666905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35007835666963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34343443 + ... + 35348093.

It is an arithmetic number, because the mean of its divisors is an integer number (1519448242950).

Almost surely, 2^{35007835666968} is an apocalyptic number.

It is an amenable number.

35007835666968 is an abundant number, since it is smaller than the sum of its proper divisors (62236851881832).

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

35007835666968 is a wasteful number, since it uses less digits than its factorization.

35007835666968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165989 (or 1165979 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 35007835666968 in words is "thirty-five trillion, seven billion, eight hundred thirty-five million, six hundred sixty-six thousand, nine hundred sixty-eight".