36843468480 has 1344 divisors, whose sum is σ = 168639744000. Its totient is φ = 7315660800.

The previous prime is 36843468463. The next prime is 36843468509. The reversal of 36843468480 is 8486434863.

36843468480 is a `hidden beast` number, since 3 + 68 + 43 + 4 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243996405 + ... + 243996555.

It is an arithmetic number, because the mean of its divisors is an integer number (125476000).

Almost surely, 2^36843468480 is an apocalyptic number.

36843468480 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 36843468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319872000).

36843468480 is an abundant number, since it is smaller than the sum of its proper divisors (131796275520).

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

36843468480 is a wasteful number, since it uses less digits than its factorization.

36843468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 36843468480 in words is "thirty-six billion, eight hundred forty-three million, four hundred sixty-eight thousand, four hundred eighty".