36561559680 has 160 divisors (see below), whose sum is σ = 130568116140. Its totient is φ = 9749735424.

The previous prime is 36561559607. The next prime is 36561559693. The reversal of 36561559680 is 8695516563.

It is a happy number.

36561559680 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 1 + 559 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32998902336 + 3562657344 = 181656^2 + 59688^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300799 + ... + 404478.

Almost surely, 2^36561559680 is an apocalyptic number.

36561559680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36561559680 is an abundant number, since it is smaller than the sum of its proper divisors (94006556460).

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

36561559680 is an equidigital number, since it uses as much as digits as its factorization.

36561559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705308 (or 705287 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 36561559680 in words is "thirty-six billion, five hundred sixty-one million, five hundred fifty-nine thousand, six hundred eighty".