36415066752 has 128 divisors (see below), whose sum is σ = 108770760000. Its totient is φ = 11992015872.

The previous prime is 36415066679. The next prime is 36415066769. The reversal of 36415066752 is 25766051463.

36415066752 is a `hidden beast` number, since 36 + 4 + 1 + 506 + 67 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 36415066698 and 36415066707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223374 + ... + 350322.

Almost surely, 2^36415066752 is an apocalyptic number.

36415066752 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 36415066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54385380000).

36415066752 is an abundant number, since it is smaller than the sum of its proper divisors (72355693248).

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

36415066752 is a wasteful number, since it uses less digits than its factorization.

36415066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127055 (or 127037 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 36415066752 in words is "thirty-six billion, four hundred fifteen million, sixty-six thousand, seven hundred fifty-two".