36545664960 has 336 divisors, whose sum is σ = 144426627072. Its totient is φ = 8308684800.

The previous prime is 36545664959. The next prime is 36545664971. The reversal of 36545664960 is 6946654563.

36545664960 is a `hidden beast` number, since 3 + 6 + 545 + 6 + 6 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 36545664897 and 36545664906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3845815 + ... + 3855305.

It is an arithmetic number, because the mean of its divisors is an integer number (429841152).

Almost surely, 2^36545664960 is an apocalyptic number.

36545664960 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 36545664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72213313536).

36545664960 is an abundant number, since it is smaller than the sum of its proper divisors (107880962112).

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

36545664960 is a wasteful number, since it uses less digits than its factorization.

36545664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9712 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 36545664960 in words is "thirty-six billion, five hundred forty-five million, six hundred sixty-four thousand, nine hundred sixty".