36833409220608 has 3600 divisors, whose sum is σ = 159916969596384. Its totient is φ = 8276032880640.

The previous prime is 36833409220583. The next prime is 36833409220637. The reversal of 36833409220608 is 80602290433863.

36833409220608 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 3 + 4 + 0 + 9 + 2 + 20 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 158083301260 + ... + 158083301492.

Almost surely, 2^{36833409220608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36833409220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79958484798192).

36833409220608 is an abundant number, since it is smaller than the sum of its proper divisors (123083560375776).

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

36833409220608 is a wasteful number, since it uses less digits than its factorization.

36833409220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 36833409220608 in words is "thirty-six trillion, eight hundred thirty-three billion, four hundred nine million, two hundred twenty thousand, six hundred eight".