36264222720 has 672 divisors, whose sum is σ = 142241137920. Its totient is φ = 8758886400.

The previous prime is 36264222703. The next prime is 36264222721. The reversal of 36264222720 is 2722246263.

36264222720 is a `hidden beast` number, since 3 + 6 + 2 + 642 + 2 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36264222721) 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, 133816185 + ... + 133816455.

It is an arithmetic number, because the mean of its divisors is an integer number (211668360).

Almost surely, 2^36264222720 is an apocalyptic number.

36264222720 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 36264222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71120568960).

36264222720 is an abundant number, since it is smaller than the sum of its proper divisors (105976915200).

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

36264222720 is a wasteful number, since it uses less digits than its factorization.

36264222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 36264222720 its reverse (2722246263), we get a palindrome (38986468983).

The spelling of 36264222720 in words is "thirty-six billion, two hundred sixty-four million, two hundred twenty-two thousand, seven hundred twenty".