36480826884096 has 1125 divisors, whose sum is σ = 128345389871699. Its totient is φ = 10325681307648.

The previous prime is 36480826884091. The next prime is 36480826884107. The reversal of 36480826884096 is 69048862808463.

It is a happy number.

The square root of 36480826884096 is 6039936.

It is a perfect power (a square), and thus also a powerful number.

36480826884096 is a `hidden beast` number, since 3 + 6 + 4 + 80 + 82 + 68 + 8 + 409 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36480826884091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 340942307275 + ... + 340942307381.

Almost surely, 2^{36480826884096} is an apocalyptic number.

36480826884096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36480826884096 is the 6039936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36480826884096

36480826884096 is an abundant number, since it is smaller than the sum of its proper divisors (91864562987603).

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

36480826884096 is an frugal number, since it uses more digits than its factorization.

36480826884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 36480826884096 in words is "thirty-six trillion, four hundred eighty billion, eight hundred twenty-six million, eight hundred eighty-four thousand, ninety-six".