36340960434768 has 800 divisors, whose sum is σ = 118226718720000. Its totient is φ = 10682748426240.

The previous prime is 36340960434767. The next prime is 36340960434827. The reversal of 36340960434768 is 86743406904363.

36340960434768 is a `hidden beast` number, since 3 + 6 + 3 + 40 + 96 + 0 + 434 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36340960434767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63868119988 + ... + 63868120556.

It is an arithmetic number, because the mean of its divisors is an integer number (147783398400).

Almost surely, 2^{36340960434768} 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 36340960434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59113359360000).

36340960434768 is an abundant number, since it is smaller than the sum of its proper divisors (81885758285232).

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

36340960434768 is a wasteful number, since it uses less digits than its factorization.

36340960434768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 63.

The spelling of 36340960434768 in words is "thirty-six trillion, three hundred forty billion, nine hundred sixty million, four hundred thirty-four thousand, seven hundred sixty-eight".