35768736768 has 88 divisors (see below), whose sum is σ = 95675928448. Its totient is φ = 11880493056.

The previous prime is 35768736761. The next prime is 35768736779. The reversal of 35768736768 is 86763786753.

It is a junction number, because it is equal to n+sod(n) for n = 35768736699 and 35768736708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35768736761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848805 + ... + 889947.

Almost surely, 2^35768736768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35768736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47837964224).

35768736768 is an abundant number, since it is smaller than the sum of its proper divisors (59907191680).

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

35768736768 is a wasteful number, since it uses less digits than its factorization.

35768736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41449 (or 41431 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 66.

The spelling of 35768736768 in words is "thirty-five billion, seven hundred sixty-eight million, seven hundred thirty-six thousand, seven hundred sixty-eight".