32082406713600 has 432 divisors, whose sum is σ = 109554527061504. Its totient is φ = 8259600384000.

The previous prime is 32082406713583. The next prime is 32082406713613. The reversal of 32082406713600 is 631760428023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250515184 + ... + 250643216.

It is an arithmetic number, because the mean of its divisors is an integer number (253598442272).

Almost surely, 2^{32082406713600} is an apocalyptic number.

32082406713600 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 32082406713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54777263530752).

32082406713600 is an abundant number, since it is smaller than the sum of its proper divisors (77472120347904).

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

32082406713600 is a wasteful number, since it uses less digits than its factorization.

32082406713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128514 (or 128495 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 32082406713600 in words is "thirty-two trillion, eighty-two billion, four hundred six million, seven hundred thirteen thousand, six hundred".