36036003168 has 360 divisors, whose sum is σ = 117891524520. Its totient is φ = 10788940800.

The previous prime is 36036003151. The next prime is 36036003173. The reversal of 36036003168 is 86130063063.

36036003168 is a `hidden beast` number, since 36 + 0 + 3 + 600 + 3 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27912603 + ... + 27913893.

It is an arithmetic number, because the mean of its divisors is an integer number (327476457).

Almost surely, 2^36036003168 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 36036003168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58945762260).

36036003168 is an abundant number, since it is smaller than the sum of its proper divisors (81855521352).

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

36036003168 is a wasteful number, since it uses less digits than its factorization.

36036003168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 36036003168 in words is "thirty-six billion, thirty-six million, three thousand, one hundred sixty-eight".