36774027264 has 448 divisors, whose sum is σ = 112736010240. Its totient is φ = 10581442560.

The previous prime is 36774027259. The next prime is 36774027281. The reversal of 36774027264 is 46272047763.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 465493977 + ... + 465494055.

It is an arithmetic number, because the mean of its divisors is an integer number (251642880).

Almost surely, 2^36774027264 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 36774027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56368005120).

36774027264 is an abundant number, since it is smaller than the sum of its proper divisors (75961982976).

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

36774027264 is a wasteful number, since it uses less digits than its factorization.

36774027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 36774027264 in words is "thirty-six billion, seven hundred seventy-four million, twenty-seven thousand, two hundred sixty-four".