36769746289164 has 384 divisors, whose sum is σ = 103960330371072. Its totient is φ = 9888924165120.

The previous prime is 36769746289033. The next prime is 36769746289223. The reversal of 36769746289164 is 46198264796763.

It is a super-3 number, since 3×36769746289164³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36769746289164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33641121402 + ... + 33641122494.

It is an arithmetic number, because the mean of its divisors is an integer number (270730027008).

Almost surely, 2^{36769746289164} 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 36769746289164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51980165185536).

36769746289164 is an abundant number, since it is smaller than the sum of its proper divisors (67190584081908).

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

36769746289164 is a wasteful number, since it uses less digits than its factorization.

36769746289164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2243 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 78.

The spelling of 36769746289164 in words is "thirty-six trillion, seven hundred sixty-nine billion, seven hundred forty-six million, two hundred eighty-nine thousand, one hundred sixty-four".