36826840512 has 1008 divisors, whose sum is σ = 146857321728. Its totient is φ = 8868372480.

The previous prime is 36826840499. The next prime is 36826840549. The reversal of 36826840512 is 21504862863.

36826840512 is a `hidden beast` number, since 36 + 8 + 2 + 68 + 40 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 549654303 + ... + 549654369.

Almost surely, 2^36826840512 is an apocalyptic number.

36826840512 is a gapful number since it is divisible by the number (32) 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 36826840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73428660864).

36826840512 is an abundant number, since it is smaller than the sum of its proper divisors (110030481216).

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

36826840512 is an equidigital number, since it uses as much as digits as its factorization.

36826840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 36826840512 in words is "thirty-six billion, eight hundred twenty-six million, eight hundred forty thousand, five hundred twelve".