36380447616000 has 352 divisors, whose sum is σ = 126276564331008. Its totient is φ = 9279648153600.

The previous prime is 36380447615999. The next prime is 36380447616011. The reversal of 36380447616000 is 61674408363.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 6772419 + ... + 10891581.

Almost surely, 2^{36380447616000} is an apocalyptic number.

36380447616000 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 36380447616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63138282165504).

36380447616000 is an abundant number, since it is smaller than the sum of its proper divisors (89896116715008).

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

36380447616000 is a wasteful number, since it uses less digits than its factorization.

36380447616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119224 (or 4119196 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 36380447616000 in words is "thirty-six trillion, three hundred eighty billion, four hundred forty-seven million, six hundred sixteen thousand".