37216384507872 has 144 divisors (see below), whose sum is σ = 109290328842240. Its totient is φ = 12000644409600.

The previous prime is 37216384507847. The next prime is 37216384507927. The reversal of 37216384507872 is 27870548361273.

It is a happy number.

37216384507872 is a `hidden beast` number, since 3 + 7 + 2 + 16 + 38 + 4 + 507 + 87 + 2 = 666.

37216384507872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22328029 + ... + 23936867.

It is an arithmetic number, because the mean of its divisors is an integer number (758960616960).

Almost surely, 2^{37216384507872} is an apocalyptic number.

37216384507872 is a gapful number since it is divisible by the number (32) 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 37216384507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54645164421120).

37216384507872 is an abundant number, since it is smaller than the sum of its proper divisors (72073944334368).

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

37216384507872 is a wasteful number, since it uses less digits than its factorization.

37216384507872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611477 (or 1611466 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 37216384507872 in words is "thirty-seven trillion, two hundred sixteen billion, three hundred eighty-four million, five hundred seven thousand, eight hundred seventy-two".