36675088956 has 192 divisors, whose sum is σ = 105870213120. Its totient is φ = 11022480000.

The previous prime is 36675088951. The next prime is 36675088969. The reversal of 36675088956 is 65988057663.

36675088956 is a `hidden beast` number, since 36 + 6 + 7 + 508 + 8 + 95 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36675088893 and 36675088902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36675088951) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12219456 + ... + 12222456.

It is an arithmetic number, because the mean of its divisors is an integer number (551407360).

Almost surely, 2^36675088956 is an apocalyptic number.

36675088956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36675088956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52935106560).

36675088956 is an abundant number, since it is smaller than the sum of its proper divisors (69195124164).

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

36675088956 is a wasteful number, since it uses less digits than its factorization.

36675088956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 36675088956 in words is "thirty-six billion, six hundred seventy-five million, eighty-eight thousand, nine hundred fifty-six".