35768942049240 has 192 divisors, whose sum is σ = 116532930440160. Its totient is φ = 9515114219520.

The previous prime is 35768942049227. The next prime is 35768942049283. The reversal of 35768942049240 is 4294024986753.

35768942049240 is a `hidden beast` number, since 3 + 5 + 7 + 6 + 89 + 4 + 20 + 492 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326241630 + ... + 326351250.

Almost surely, 2^{35768942049240} is an apocalyptic number.

35768942049240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35768942049240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58266465220080).

35768942049240 is an abundant number, since it is smaller than the sum of its proper divisors (80763988390920).

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

35768942049240 is a wasteful number, since it uses less digits than its factorization.

35768942049240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111842 (or 111835 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 35768942049240 in words is "thirty-five trillion, seven hundred sixty-eight billion, nine hundred forty-two million, forty-nine thousand, two hundred forty".