36645791796000 has 1536 divisors, whose sum is σ = 146459529216000. Its totient is φ = 8865386496000.

The previous prime is 36645791795947. The next prime is 36645791796013. The reversal of 36645791796000 is 69719754663.

36645791796000 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 5 + 7 + 9 + 17 + 9 + 600 + 0 = 666.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 6170361031 + ... + 6170366969.

It is an arithmetic number, because the mean of its divisors is an integer number (95351256000).

Almost surely, 2^{36645791796000} is an apocalyptic number.

36645791796000 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 36645791796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73229764608000).

36645791796000 is an abundant number, since it is smaller than the sum of its proper divisors (109813737420000).

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

36645791796000 is a wasteful number, since it uses less digits than its factorization.

36645791796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 36645791796000 in words is "thirty-six trillion, six hundred forty-five billion, seven hundred ninety-one million, seven hundred ninety-six thousand".