36797937959808 has 1024 divisors, whose sum is σ = 121285226496000. Its totient is φ = 11074380134400.

The previous prime is 36797937959801. The next prime is 36797937959813. The reversal of 36797937959808 is 80895973979763.

36797937959808 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 7 + 9 + 3 + 7 + 9 + 598 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36797937959801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11047112703 + ... + 11047116033.

It is an arithmetic number, because the mean of its divisors is an integer number (118442604000).

Almost surely, 2^{36797937959808} is an apocalyptic number.

36797937959808 is a gapful number since it is divisible by the number (38) 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 36797937959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60642613248000).

36797937959808 is an abundant number, since it is smaller than the sum of its proper divisors (84487288536192).

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

36797937959808 is an equidigital number, since it uses as much as digits as its factorization.

36797937959808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 38887309440, while the sum is 90.

The spelling of 36797937959808 in words is "thirty-six trillion, seven hundred ninety-seven billion, nine hundred thirty-seven million, nine hundred fifty-nine thousand, eight hundred eight".