36282769424640 has 216 divisors, whose sum is σ = 129863383355160. Its totient is φ = 9341770432512.

The previous prime is 36282769424569. The next prime is 36282769424677. The reversal of 36282769424640 is 4642496728263.

36282769424640 is a `hidden beast` number, since 3 + 6 + 2 + 82 + 7 + 6 + 94 + 2 + 464 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10529661563136 + 25753107861504 = 3244944^2 + 5074752^2 .

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, 53968437 + ... + 54636596.

It is an arithmetic number, because the mean of its divisors is an integer number (601219367385).

Almost surely, 2^{36282769424640} is an apocalyptic number.

36282769424640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36282769424640 is an abundant number, since it is smaller than the sum of its proper divisors (93580613930520).

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

36282769424640 is a wasteful number, since it uses less digits than its factorization.

36282769424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108605089 (or 108605072 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 36282769424640 in words is "thirty-six trillion, two hundred eighty-two billion, seven hundred sixty-nine million, four hundred twenty-four thousand, six hundred forty".