36005487168 has 336 divisors, whose sum is σ = 114593534592. Its totient is φ = 9770803200.

The previous prime is 36005487163. The next prime is 36005487181. The reversal of 36005487168 is 86178450063.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (36005487163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78786396 + ... + 78786852.

Almost surely, 2^36005487168 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 36005487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57296767296).

36005487168 is an abundant number, since it is smaller than the sum of its proper divisors (78588047424).

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

36005487168 is a wasteful number, since it uses less digits than its factorization.

36005487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 36005487168 in words is "thirty-six billion, five million, four hundred eighty-seven thousand, one hundred sixty-eight".