36627089061888 has 192 divisors, whose sum is σ = 116844231722400. Its totient is φ = 11269873336320.

The previous prime is 36627089061881. The next prime is 36627089061919. The reversal of 36627089061888 is 88816098072663.

36627089061888 is a `hidden beast` number, since 366 + 2 + 7 + 0 + 89 + 0 + 6 + 188 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36627089061881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24757393 + ... + 26195088.

Almost surely, 2^{36627089061888} is an apocalyptic number.

It is an amenable number.

36627089061888 is an abundant number, since it is smaller than the sum of its proper divisors (80217142660512).

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

36627089061888 is a wasteful number, since it uses less digits than its factorization.

36627089061888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50952525 (or 50952499 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 36627089061888 in words is "thirty-six trillion, six hundred twenty-seven billion, eighty-nine million, sixty-one thousand, eight hundred eighty-eight".