36365621760 has 320 divisors, whose sum is σ = 139113596160. Its totient is φ = 8951316480.

The previous prime is 36365621731. The next prime is 36365621777. The reversal of 36365621760 is 6712656363.

36365621760 is a `hidden beast` number, since 3 + 636 + 5 + 6 + 2 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 878325 + ... + 918795.

It is an arithmetic number, because the mean of its divisors is an integer number (434729988).

Almost surely, 2^36365621760 is an apocalyptic number.

36365621760 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 36365621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69556798080).

36365621760 is an abundant number, since it is smaller than the sum of its proper divisors (102747974400).

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

36365621760 is a wasteful number, since it uses less digits than its factorization.

36365621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40516 (or 40494 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36365621760 in words is "thirty-six billion, three hundred sixty-five million, six hundred twenty-one thousand, seven hundred sixty".