32376925716480 has 480 divisors, whose sum is σ = 118148901156000. Its totient is φ = 8179320619008.

The previous prime is 32376925716437. The next prime is 32376925716493. The reversal of 32376925716480 is 8461752967323.

It is a happy number.

32376925716480 is a `hidden beast` number, since 3 + 2 + 3 + 7 + 6 + 92 + 57 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×32376925716480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448230127 + ... + 448302353.

It is an arithmetic number, because the mean of its divisors is an integer number (246143544075).

It is a 2-persistent number, because it is pandigital, and so is 2⋅32376925716480 = 64753851432960, but 3⋅32376925716480 = 97130777149440 is not.

Almost surely, 2^{32376925716480} is an apocalyptic number.

32376925716480 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 32376925716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59074450578000).

32376925716480 is an abundant number, since it is smaller than the sum of its proper divisors (85771975439520).

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

32376925716480 is an frugal number, since it uses more digits than its factorization.

32376925716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72295 (or 72256 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 32376925716480 in words is "thirty-two trillion, three hundred seventy-six billion, nine hundred twenty-five million, seven hundred sixteen thousand, four hundred eighty".