36723417640128 has 672 divisors, whose sum is σ = 113588520721920. Its totient is φ = 11631755520000.

The previous prime is 36723417640127. The next prime is 36723417640201. The reversal of 36723417640128 is 82104671432763.

36723417640128 is a `hidden beast` number, since 3 + 6 + 72 + 341 + 76 + 40 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36723417640121) by changing a digit.

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, 39025948138 + ... + 39025949078.

Almost surely, 2^{36723417640128} 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 36723417640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56794260360960).

36723417640128 is an abundant number, since it is smaller than the sum of its proper divisors (76865103081792).

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

36723417640128 is a wasteful number, since it uses less digits than its factorization.

36723417640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 36723417640128 in words is "thirty-six trillion, seven hundred twenty-three billion, four hundred seventeen million, six hundred forty thousand, one hundred twenty-eight".