36603621360 has 400 divisors, whose sum is σ = 132794402400. Its totient is φ = 9332692992.

The previous prime is 36603621343. The next prime is 36603621361. The reversal of 36603621360 is 6312630663.

It is a happy number.

36603621360 is a `hidden beast` number, since 36 + 603 + 6 + 2 + 13 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36603621361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20482387 + ... + 20484173.

It is an arithmetic number, because the mean of its divisors is an integer number (331986006).

Almost surely, 2^36603621360 is an apocalyptic number.

36603621360 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 36603621360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66397201200).

36603621360 is an abundant number, since it is smaller than the sum of its proper divisors (96190781040).

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

36603621360 is a wasteful number, since it uses less digits than its factorization.

36603621360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 36603621360 in words is "thirty-six billion, six hundred three million, six hundred twenty-one thousand, three hundred sixty".