36705936960 has 672 divisors, whose sum is σ = 159033618432. Its totient is φ = 7548456960.

The previous prime is 36705936947. The next prime is 36705936977. The reversal of 36705936960 is 6963950763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×36705936960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36705936897 and 36705936906.

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 95 ways as a sum of consecutive naturals, for example, 22840477 + ... + 22842083.

Almost surely, 2^36705936960 is an apocalyptic number.

36705936960 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 36705936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79516809216).

36705936960 is an abundant number, since it is smaller than the sum of its proper divisors (122327681472).

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

36705936960 is a wasteful number, since it uses less digits than its factorization.

36705936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 36705936960 in words is "thirty-six billion, seven hundred five million, nine hundred thirty-six thousand, nine hundred sixty".