36262081856 has 448 divisors, whose sum is σ = 105089187840. Its totient is φ = 11956377600.

The previous prime is 36262081853. The next prime is 36262081903. The reversal of 36262081856 is 65818026263.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36262081856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36262081853) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169744561 + ... + 1169744591.

It is an arithmetic number, because the mean of its divisors is an integer number (234574080).

Almost surely, 2^36262081856 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 36262081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52544593920).

36262081856 is an abundant number, since it is smaller than the sum of its proper divisors (68827105984).

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

36262081856 is a wasteful number, since it uses less digits than its factorization.

36262081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 36262081856 in words is "thirty-six billion, two hundred sixty-two million, eighty-one thousand, eight hundred fifty-six".