32816399616 has 1728 divisors, whose sum is σ = 143993880576. Its totient is φ = 7166361600.

The previous prime is 32816399587. The next prime is 32816399659. The reversal of 32816399616 is 61699361823.

32816399616 is a `hidden beast` number, since 3 + 2 + 8 + 16 + 3 + 9 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1058593521 + ... + 1058593551.

It is an arithmetic number, because the mean of its divisors is an integer number (83329792).

Almost surely, 2^32816399616 is an apocalyptic number.

32816399616 is a gapful number since it is divisible by the number (36) 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 32816399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71996940288).

32816399616 is an abundant number, since it is smaller than the sum of its proper divisors (111177480960).

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

32816399616 is a wasteful number, since it uses less digits than its factorization.

32816399616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 32816399616 in words is "thirty-two billion, eight hundred sixteen million, three hundred ninety-nine thousand, six hundred sixteen".