36349673472000 has 2112 divisors, whose sum is σ = 156783448793088. Its totient is φ = 7927234560000.

The previous prime is 36349673471977. The next prime is 36349673472011. The reversal of 36349673472000 is 27437694363.

36349673472000 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 96 + 7 + 347 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 511967231965 + ... + 511967232035.

Almost surely, 2^{36349673472000} is an apocalyptic number.

36349673472000 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 36349673472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78391724396544).

36349673472000 is an abundant number, since it is smaller than the sum of its proper divisors (120433775321088).

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

36349673472000 is an frugal number, since it uses more digits than its factorization.

36349673472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 36349673472000 in words is "thirty-six trillion, three hundred forty-nine billion, six hundred seventy-three million, four hundred seventy-two thousand".