36371248767256 has 128 divisors (see below), whose sum is σ = 74178840960000. Its totient is φ = 16619271229440.

The previous prime is 36371248767239. The next prime is 36371248767257. The reversal of 36371248767256 is 65276784217363.

It is a super-3 number, since 3×36371248767256³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36371248767191 and 36371248767200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36371248767257) 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 31 ways as a sum of consecutive naturals, for example, 6032713650 + ... + 6032719678.

It is an arithmetic number, because the mean of its divisors is an integer number (579522195000).

Almost surely, 2^{36371248767256} 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 36371248767256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37089420480000).

36371248767256 is an abundant number, since it is smaller than the sum of its proper divisors (37807592192744).

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

36371248767256 is a wasteful number, since it uses less digits than its factorization.

36371248767256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7633 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 67.

The spelling of 36371248767256 in words is "thirty-six trillion, three hundred seventy-one billion, two hundred forty-eight million, seven hundred sixty-seven thousand, two hundred fifty-six".