36366742368 has 336 divisors, whose sum is σ = 123285153600. Its totient is φ = 10438813440.

The previous prime is 36366742343. The next prime is 36366742417. The reversal of 36366742368 is 86324766363.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4871823 + ... + 4879281.

It is an arithmetic number, because the mean of its divisors is an integer number (366920100).

Almost surely, 2^36366742368 is an apocalyptic number.

36366742368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36366742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61642576800).

36366742368 is an abundant number, since it is smaller than the sum of its proper divisors (86918411232).

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

36366742368 is a wasteful number, since it uses less digits than its factorization.

36366742368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517 (or 7494 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 36366742368 in words is "thirty-six billion, three hundred sixty-six million, seven hundred forty-two thousand, three hundred sixty-eight".