36717821206560 has 864 divisors, whose sum is σ = 145685105774208. Its totient is φ = 8386694184960.

The previous prime is 36717821206499. The next prime is 36717821206567. The reversal of 36717821206560 is 6560212871763.

36717821206560 is a `hidden beast` number, since 3 + 6 + 7 + 1 + 78 + 2 + 1 + 2 + 0 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36717821206497 and 36717821206506.

It is not an unprimeable number, because it can be changed into a prime (36717821206567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293673019 + ... + 293798021.

It is an arithmetic number, because the mean of its divisors is an integer number (168617020572).

Almost surely, 2^{36717821206560} is an apocalyptic number.

36717821206560 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 36717821206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72842552887104).

36717821206560 is an abundant number, since it is smaller than the sum of its proper divisors (108967284567648).

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

36717821206560 is a wasteful number, since it uses less digits than its factorization.

36717821206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125138 (or 125114 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 36717821206560 in words is "thirty-six trillion, seven hundred seventeen billion, eight hundred twenty-one million, two hundred six thousand, five hundred sixty".