36487129752 has 160 divisors (see below), whose sum is σ = 107516970000. Its totient is φ = 11543599872.

The previous prime is 36487129747. The next prime is 36487129753. The reversal of 36487129752 is 25792178463.

It is a happy number.

36487129752 is a `hidden beast` number, since 36 + 487 + 129 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36487129753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1092274 + ... + 1125182.

Almost surely, 2^36487129752 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 36487129752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53758485000).

36487129752 is an abundant number, since it is smaller than the sum of its proper divisors (71029840248).

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

36487129752 is a wasteful number, since it uses less digits than its factorization.

36487129752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33015 (or 33002 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 36487129752 in words is "thirty-six billion, four hundred eighty-seven million, one hundred twenty-nine thousand, seven hundred fifty-two".