36913720192128 has 768 divisors, whose sum is σ = 119150369694720. Its totient is φ = 10892869632000.

The previous prime is 36913720192103. The next prime is 36913720192253. The reversal of 36913720192128 is 82129102731963.

36913720192128 is a `hidden beast` number, since 3 + 69 + 1 + 372 + 0 + 1 + 92 + 128 = 666.

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 95 ways as a sum of consecutive naturals, for example, 48506859268 + ... + 48506860028.

It is an arithmetic number, because the mean of its divisors is an integer number (155143710540).

Almost surely, 2^{36913720192128} 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 36913720192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59575184847360).

36913720192128 is an abundant number, since it is smaller than the sum of its proper divisors (82236649502592).

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

36913720192128 is a wasteful number, since it uses less digits than its factorization.

36913720192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 36913720192128 in words is "thirty-six trillion, nine hundred thirteen billion, seven hundred twenty million, one hundred ninety-two thousand, one hundred twenty-eight".