36222363648000 has 1920 divisors, whose sum is σ = 147215577600000. Its totient is φ = 8747207884800.

The previous prime is 36222363647993. The next prime is 36222363648061. The reversal of 36222363648000 is 84636322263.

36222363648000 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 2 + 3 + 636 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24164351251 + ... + 24164352749.

It is an arithmetic number, because the mean of its divisors is an integer number (76674780000).

Almost surely, 2^{36222363648000} is an apocalyptic number.

36222363648000 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 36222363648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73607788800000).

36222363648000 is an abundant number, since it is smaller than the sum of its proper divisors (110993213952000).

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

36222363648000 is a wasteful number, since it uses less digits than its factorization.

36222363648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 36222363648000 in words is "thirty-six trillion, two hundred twenty-two billion, three hundred sixty-three million, six hundred forty-eight thousand".