36705474524160 has 1056 divisors, whose sum is σ = 139637274704928. Its totient is φ = 8859958640640.

The previous prime is 36705474524119. The next prime is 36705474524183. The reversal of 36705474524160 is 6142547450763.

36705474524160 is a `hidden beast` number, since 3 + 6 + 7 + 0 + 5 + 474 + 5 + 2 + 4 + 160 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 25461631586304 + 11243842937856 = 5045952^2 + 3353184^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36705474524097 and 36705474524106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13629955774 + ... + 13629958466.

It is an arithmetic number, because the mean of its divisors is an integer number (132232267713).

Almost surely, 2^{36705474524160} is an apocalyptic number.

36705474524160 is a gapful number since it is divisible by the number (30) 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 36705474524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69818637352464).

36705474524160 is an abundant number, since it is smaller than the sum of its proper divisors (102931800180768).

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

36705474524160 is a wasteful number, since it uses less digits than its factorization.

36705474524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 36705474524160 in words is "thirty-six trillion, seven hundred five billion, four hundred seventy-four million, five hundred twenty-four thousand, one hundred sixty".