36242956450560 has 288 divisors, whose sum is σ = 118867146209280. Its totient is φ = 9408043008000.

The previous prime is 36242956450517. The next prime is 36242956450567. The reversal of 36242956450560 is 6505465924263.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 36242956450560.

It is not an unprimeable number, because it can be changed into a prime (36242956450567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20697210 + ... + 22379910.

It is an arithmetic number, because the mean of its divisors is an integer number (412733146560).

Almost surely, 2^{36242956450560} is an apocalyptic number.

36242956450560 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 36242956450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59433573104640).

36242956450560 is an abundant number, since it is smaller than the sum of its proper divisors (82624189758720).

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

36242956450560 is a wasteful number, since it uses less digits than its factorization.

36242956450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682875 (or 1682861 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 57.

The spelling of 36242956450560 in words is "thirty-six trillion, two hundred forty-two billion, nine hundred fifty-six million, four hundred fifty thousand, five hundred sixty".