36313042272864 has 384 divisors, whose sum is σ = 110994132307968. Its totient is φ = 10181265684480.

The previous prime is 36313042272863. The next prime is 36313042272883. The reversal of 36313042272864 is 46827224031363.

It is a super-6 number, since 6×36313042272864⁶ (a number of 83 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36313042272863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11337195487 + ... + 11337198689.

It is an arithmetic number, because the mean of its divisors is an integer number (289047219552).

Almost surely, 2^{36313042272864} 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 36313042272864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55497066153984).

36313042272864 is an abundant number, since it is smaller than the sum of its proper divisors (74681090035104).

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

36313042272864 is a wasteful number, since it uses less digits than its factorization.

36313042272864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 36313042272864 in words is "thirty-six trillion, three hundred thirteen billion, forty-two million, two hundred seventy-two thousand, eight hundred sixty-four".