36864279648 has 144 divisors (see below), whose sum is σ = 119893213440. Its totient is φ = 10525241088.

The previous prime is 36864279587. The next prime is 36864279659. The reversal of 36864279648 is 84697246863.

36864279648 is a `hidden beast` number, since 3 + 6 + 86 + 427 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36864279648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3274413 + ... + 3285651.

It is an arithmetic number, because the mean of its divisors is an integer number (832591760).

Almost surely, 2^36864279648 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 36864279648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59946606720).

36864279648 is an abundant number, since it is smaller than the sum of its proper divisors (83028933792).

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

36864279648 is a wasteful number, since it uses less digits than its factorization.

36864279648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12878 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 36864279648 in words is "thirty-six billion, eight hundred sixty-four million, two hundred seventy-nine thousand, six hundred forty-eight".