36011678976000 has 2304 divisors, whose sum is σ = 166799479392000. Its totient is φ = 7597139558400.

The previous prime is 36011678975999. The next prime is 36011678976019. The reversal of 36011678976000 is 67987611063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4402939911 + ... + 4402948089.

It is an arithmetic number, because the mean of its divisors is an integer number (72395607375).

Almost surely, 2^{36011678976000} is an apocalyptic number.

36011678976000 is a gapful number since it is divisible by the number (30) 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 36011678976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83399739696000).

36011678976000 is an abundant number, since it is smaller than the sum of its proper divisors (130787800416000).

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

36011678976000 is a wasteful number, since it uses less digits than its factorization.

36011678976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 36011678976000 in words is "thirty-six trillion, eleven billion, six hundred seventy-eight million, nine hundred seventy-six thousand".