36671836998888 has 1152 divisors, whose sum is σ = 135459874368000. Its totient is φ = 9109800483840.

The previous prime is 36671836998829. The next prime is 36671836998889. The reversal of 36671836998888 is 88889963817663.

36671836998888 is a `hidden beast` number, since 36 + 67 + 1 + 8 + 369 + 9 + 88 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36671836998798 and 36671836998807.

It is not an unprimeable number, because it can be changed into a prime (36671836998889) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8990396833 + ... + 8990400911.

It is an arithmetic number, because the mean of its divisors is an integer number (117586696500).

Almost surely, 2^{36671836998888} is an apocalyptic number.

36671836998888 is a gapful number since it is divisible by the number (38) 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 36671836998888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67729937184000).

36671836998888 is an abundant number, since it is smaller than the sum of its proper divisors (98788037369112).

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

36671836998888 is a wasteful number, since it uses less digits than its factorization.

36671836998888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4304 counting only the distinct ones).

The product of its digits is 36118462464, while the sum is 90.

The spelling of 36671836998888 in words is "thirty-six trillion, six hundred seventy-one billion, eight hundred thirty-six million, nine hundred ninety-eight thousand, eight hundred eighty-eight".