36689748705792 has 2560 divisors, whose sum is σ = 146598617088000. Its totient is φ = 8841140305920.

The previous prime is 36689748705781. The next prime is 36689748705803. The reversal of 36689748705792 is 29750784798663.

It is a happy number.

36689748705792 is a `hidden beast` number, since 3 + 6 + 6 + 89 + 7 + 487 + 0 + 57 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36689748705781) and next prime (36689748705803).

It is a super-2 number, since 2×36689748705792² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125220985198 + ... + 125220985490.

It is an arithmetic number, because the mean of its divisors is an integer number (57265084800).

Almost surely, 2^{36689748705792} is an apocalyptic number.

36689748705792 is a gapful number since it is divisible by the number (32) 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 36689748705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73299308544000).

36689748705792 is an abundant number, since it is smaller than the sum of its proper divisors (109908868382208).

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

36689748705792 is a wasteful number, since it uses less digits than its factorization.

36689748705792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 36689748705792 in words is "thirty-six trillion, six hundred eighty-nine billion, seven hundred forty-eight million, seven hundred five thousand, seven hundred ninety-two".