36936616807680 has 288 divisors, whose sum is σ = 120699986488704. Its totient is φ = 9624035524608.

The previous prime is 36936616807679. The next prime is 36936616807729. The reversal of 36936616807680 is 8670861663963.

It is a super-2 number, since 2×36936616807680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29378512 + ... + 30609968.

It is an arithmetic number, because the mean of its divisors is an integer number (419097175308).

Almost surely, 2^{36936616807680} is an apocalyptic number.

36936616807680 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 36936616807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60349993244352).

36936616807680 is an abundant number, since it is smaller than the sum of its proper divisors (83763369681024).

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

36936616807680 is a wasteful number, since it uses less digits than its factorization.

36936616807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231661 (or 1231647 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 36936616807680 in words is "thirty-six trillion, nine hundred thirty-six billion, six hundred sixteen million, eight hundred seven thousand, six hundred eighty".