36364743054000 has 240 divisors, whose sum is σ = 127022880801024. Its totient is φ = 9696275712000.

The previous prime is 36364743053953. The next prime is 36364743054001. The reversal of 36364743054000 is 45034746363.

36364743054000 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 4 + 74 + 30 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (36364743054001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185680129 + ... + 185875871.

Almost surely, 2^{36364743054000} is an apocalyptic number.

36364743054000 is a gapful number since it is divisible by the number (30) 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 36364743054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63511440400512).

36364743054000 is an abundant number, since it is smaller than the sum of its proper divisors (90658137747024).

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

36364743054000 is a wasteful number, since it uses less digits than its factorization.

36364743054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206093 (or 206074 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 36364743054000 in words is "thirty-six trillion, three hundred sixty-four billion, seven hundred forty-three million, fifty-four thousand".