36271944072 has 768 divisors, whose sum is σ = 136046592000. Its totient is φ = 8734003200.

The previous prime is 36271944019. The next prime is 36271944139. The reversal of 36271944072 is 27044917263.

36271944072 is a `hidden beast` number, since 3 + 627 + 19 + 4 + 4 + 0 + 7 + 2 = 666.

36271944072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150505872 + ... + 150506112.

It is an arithmetic number, because the mean of its divisors is an integer number (177144000).

Almost surely, 2^36271944072 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 36271944072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68023296000).

36271944072 is an abundant number, since it is smaller than the sum of its proper divisors (99774647928).

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

36271944072 is a wasteful number, since it uses less digits than its factorization.

36271944072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 36271944072 in words is "thirty-six billion, two hundred seventy-one million, nine hundred forty-four thousand, seventy-two".