2735367061968 has 140 divisors (see below), whose sum is σ = 8364238111840. Its totient is φ = 863800054848.

The previous prime is 2735367061871. The next prime is 2735367061979. The reversal of 2735367061968 is 8691607635372.

2735367061968 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 3 + 6 + 7 + 0 + 619 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5949796 + ... + 6393027.

Almost surely, 2^{2735367061968} is an apocalyptic number.

It is an amenable number.

2735367061968 is an abundant number, since it is smaller than the sum of its proper divisors (5628871049872).

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

2735367061968 is a wasteful number, since it uses less digits than its factorization.

2735367061968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342868 (or 12342847 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 2735367061968 in words is "two trillion, seven hundred thirty-five billion, three hundred sixty-seven million, sixty-one thousand, nine hundred sixty-eight".