36562782240 has 192 divisors, whose sum is σ = 134705289600. Its totient is φ = 9236892672.

The previous prime is 36562782233. The next prime is 36562782293. The reversal of 36562782240 is 4228726563.

36562782240 is a `hidden beast` number, since 3 + 6 + 562 + 7 + 82 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 140647 + ... + 304806.

It is an arithmetic number, because the mean of its divisors is an integer number (701590050).

Almost surely, 2^36562782240 is an apocalyptic number.

36562782240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36562782240 is an abundant number, since it is smaller than the sum of its proper divisors (98142507360).

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

36562782240 is a wasteful number, since it uses less digits than its factorization.

36562782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445496 (or 445482 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 36562782240 in words is "thirty-six billion, five hundred sixty-two million, seven hundred eighty-two thousand, two hundred forty".