36765560971776 has 1920 divisors, whose sum is σ = 131059691642880. Its totient is φ = 8909666648064.

The previous prime is 36765560971717. The next prime is 36765560971807. The reversal of 36765560971776 is 67717906556763.

It is a super-2 number, since 2×36765560971776² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36765560971698 and 36765560971707.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343603373515 + ... + 343603373621.

It is an arithmetic number, because the mean of its divisors is an integer number (68260256064).

Almost surely, 2^{36765560971776} 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 36765560971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65529845821440).

36765560971776 is an abundant number, since it is smaller than the sum of its proper divisors (94294130671104).

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

36765560971776 is a wasteful number, since it uses less digits than its factorization.

36765560971776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2100394800, while the sum is 75.

The spelling of 36765560971776 in words is "thirty-six trillion, seven hundred sixty-five billion, five hundred sixty million, nine hundred seventy-one thousand, seven hundred seventy-six".