36353045027376 has 960 divisors, whose sum is σ = 132798650342400. Its totient is φ = 9319236157440.

The previous prime is 36353045027371. The next prime is 36353045027407. The reversal of 36353045027376 is 67372054035363.

36353045027376 is a `hidden beast` number, since 3 + 6 + 3 + 53 + 0 + 450 + 2 + 73 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36353045027371) 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 191 ways as a sum of consecutive naturals, for example, 11471454720 + ... + 11471457888.

It is an arithmetic number, because the mean of its divisors is an integer number (138331927440).

Almost surely, 2^{36353045027376} is an apocalyptic number.

36353045027376 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 36353045027376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66399325171200).

36353045027376 is an abundant number, since it is smaller than the sum of its proper divisors (96445605315024).

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

36353045027376 is a wasteful number, since it uses less digits than its factorization.

36353045027376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 54.

The spelling of 36353045027376 in words is "thirty-six trillion, three hundred fifty-three billion, forty-five million, twenty-seven thousand, three hundred seventy-six".