36534960482688 has 256 divisors, whose sum is σ = 109182719232000. Its totient is φ = 12175796537856.

The previous prime is 36534960482651. The next prime is 36534960482737. The reversal of 36534960482688 is 88628406943563.

36534960482688 is a `hidden beast` number, since 3 + 6 + 5 + 3 + 4 + 9 + 60 + 482 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759947253 + ... + 1759968011.

It is an arithmetic number, because the mean of its divisors is an integer number (426494997000).

Almost surely, 2^{36534960482688} 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 36534960482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54591359616000).

36534960482688 is an abundant number, since it is smaller than the sum of its proper divisors (72647758749312).

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

36534960482688 is an frugal number, since it uses more digits than its factorization.

36534960482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27081 (or 27051 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 36534960482688 in words is "thirty-six trillion, five hundred thirty-four billion, nine hundred sixty million, four hundred eighty-two thousand, six hundred eighty-eight".