35757136768 has 64 divisors (see below), whose sum is σ = 72914022720. Its totient is φ = 17458862080.

The previous prime is 35757136763. The next prime is 35757136769. The reversal of 35757136768 is 86763175753.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35757136763) 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, 2766930 + ... + 2779822.

It is an arithmetic number, because the mean of its divisors is an integer number (1139281605).

Almost surely, 2^35757136768 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 35757136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36457011360).

35757136768 is an abundant number, since it is smaller than the sum of its proper divisors (37156885952).

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

35757136768 is a wasteful number, since it uses less digits than its factorization.

35757136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13415 (or 13403 counting only the distinct ones).

The product of its digits is 22226400, while the sum is 58.

The spelling of 35757136768 in words is "thirty-five billion, seven hundred fifty-seven million, one hundred thirty-six thousand, seven hundred sixty-eight".