36005640192 has 288 divisors, whose sum is σ = 107053455600. Its totient is φ = 11654135808.

The previous prime is 36005640179. The next prime is 36005640193. The reversal of 36005640192 is 29104650063.

It is a happy number.

36005640192 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 5 + 640 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36005640192² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36005640193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122885998 + ... + 122886290.

Almost surely, 2^36005640192 is an apocalyptic number.

36005640192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36005640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53526727800).

36005640192 is an abundant number, since it is smaller than the sum of its proper divisors (71047815408).

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

36005640192 is a wasteful number, since it uses less digits than its factorization.

36005640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36005640192 in words is "thirty-six billion, five million, six hundred forty thousand, one hundred ninety-two".