36940888131840 has 6912 divisors, whose sum is σ = 187861152890880. Its totient is φ = 6762921984000.

The previous prime is 36940888131839. The next prime is 36940888131841. The reversal of 36940888131840 is 4813188804963.

36940888131840 is a `hidden beast` number, since 3 + 69 + 408 + 88 + 13 + 1 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36940888131839) and next prime (36940888131841).

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36940888131841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 520294199005 + ... + 520294199075.

It is an arithmetic number, because the mean of its divisors is an integer number (27178986240).

Almost surely, 2^{36940888131840} is an apocalyptic number.

36940888131840 is a gapful number since it is divisible by the number (30) 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 36940888131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93930576445440).

36940888131840 is an abundant number, since it is smaller than the sum of its proper divisors (150920264759040).

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

36940888131840 is a wasteful number, since it uses less digits than its factorization.

36940888131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 36940888131840 in words is "thirty-six trillion, nine hundred forty billion, eight hundred eighty-eight million, one hundred thirty-one thousand, eight hundred forty".