36128406228768 has 720 divisors, whose sum is σ = 135762231971520. Its totient is φ = 9353924084736.

The previous prime is 36128406228767. The next prime is 36128406228833. The reversal of 36128406228768 is 86782260482163.

36128406228768 is a `hidden beast` number, since 3 + 6 + 128 + 406 + 22 + 87 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36128406228767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55177030 + ... + 55827962.

It is an arithmetic number, because the mean of its divisors is an integer number (188558655516).

Almost surely, 2^{36128406228768} is an apocalyptic number.

36128406228768 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 36128406228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67881115985760).

36128406228768 is an abundant number, since it is smaller than the sum of its proper divisors (99633825742752).

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

36128406228768 is a wasteful number, since it uses less digits than its factorization.

36128406228768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651011 (or 650987 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 36128406228768 in words is "thirty-six trillion, one hundred twenty-eight billion, four hundred six million, two hundred twenty-eight thousand, seven hundred sixty-eight".