36828115623936 has 3584 divisors, whose sum is σ = 152193613824000. Its totient is φ = 8526250377216.

The previous prime is 36828115623889. The next prime is 36828115623967. The reversal of 36828115623936 is 63932651182863.

It is a happy number.

36828115623936 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 8 + 1 + 1 + 562 + 39 + 36 = 666.

36828115623936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×36828115623936² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 466178678745 + ... + 466178678823.

It is an arithmetic number, because the mean of its divisors is an integer number (42464736000).

Almost surely, 2^{36828115623936} is an apocalyptic number.

36828115623936 is a gapful number since it is divisible by the number (36) 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 36828115623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76096806912000).

36828115623936 is an abundant number, since it is smaller than the sum of its proper divisors (115365498200064).

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

36828115623936 is a wasteful number, since it uses less digits than its factorization.

36828115623936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 36828115623936 in words is "thirty-six trillion, eight hundred twenty-eight billion, one hundred fifteen million, six hundred twenty-three thousand, nine hundred thirty-six".