36756135167416 has 128 divisors (see below), whose sum is σ = 83029266432000. Its totient is φ = 14901836257152.

The previous prime is 36756135167293. The next prime is 36756135167417. The reversal of 36756135167416 is 61476153165763.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36756135167417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184865581 + ... + 2184882403.

It is an arithmetic number, because the mean of its divisors is an integer number (648666144000).

Almost surely, 2^{36756135167416} 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 36756135167416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41514633216000).

36756135167416 is an abundant number, since it is smaller than the sum of its proper divisors (46273131264584).

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

36756135167416 is a wasteful number, since it uses less digits than its factorization.

36756135167416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19721 (or 19717 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 61.

The spelling of 36756135167416 in words is "thirty-six trillion, seven hundred fifty-six billion, one hundred thirty-five million, one hundred sixty-seven thousand, four hundred sixteen".