36240178128 has 640 divisors, whose sum is σ = 128563200000. Its totient is φ = 8688476160.

The previous prime is 36240178087. The next prime is 36240178151. The reversal of 36240178128 is 82187104263.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 36240178128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243222598 + ... + 243222746.

It is an arithmetic number, because the mean of its divisors is an integer number (200880000).

Almost surely, 2^36240178128 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 36240178128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600000).

36240178128 is an abundant number, since it is smaller than the sum of its proper divisors (92323021872).

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

36240178128 is a wasteful number, since it uses less digits than its factorization.

36240178128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 36240178128 in words is "thirty-six billion, two hundred forty million, one hundred seventy-eight thousand, one hundred twenty-eight".