36382822560 has 144 divisors (see below), whose sum is σ = 141893047296. Its totient is φ = 8316071424.

The previous prime is 36382822559. The next prime is 36382822607. The reversal of 36382822560 is 6522828363.

36382822560 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 2 + 82 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1794624 + ... + 1814783.

It is an arithmetic number, because the mean of its divisors is an integer number (985368384).

Almost surely, 2^36382822560 is an apocalyptic number.

36382822560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36382822560 is an abundant number, since it is smaller than the sum of its proper divisors (105510224736).

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

36382822560 is a wasteful number, since it uses less digits than its factorization.

36382822560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609435 (or 3609424 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36382822560 in words is "thirty-six billion, three hundred eighty-two million, eight hundred twenty-two thousand, five hundred sixty".