36233578368 has 576 divisors, whose sum is σ = 120057472080. Its totient is φ = 10868981760.

The previous prime is 36233578363. The next prime is 36233578369. The reversal of 36233578368 is 86387533263.

36233578368 is a `hidden beast` number, since 3 + 6 + 2 + 3 + 3 + 578 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (13063680) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36233578361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320651080 + ... + 320651192.

Almost surely, 2^36233578368 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 36233578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60028736040).

36233578368 is an abundant number, since it is smaller than the sum of its proper divisors (83823893712).

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

36233578368 is a wasteful number, since it uses less digits than its factorization.

36233578368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 192 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 36233578368 in words is "thirty-six billion, two hundred thirty-three million, five hundred seventy-eight thousand, three hundred sixty-eight".