32456094493680 has 2560 divisors, whose sum is σ = 141968793415680. Its totient is φ = 6694337249280.

The previous prime is 32456094493657. The next prime is 32456094493699. The reversal of 32456094493680 is 8639449065423.

32456094493680 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 60 + 9 + 4 + 493 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 87013657974 + ... + 87013658346.

It is an arithmetic number, because the mean of its divisors is an integer number (55456559928).

Almost surely, 2^{32456094493680} is an apocalyptic number.

32456094493680 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 32456094493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70984396707840).

32456094493680 is an abundant number, since it is smaller than the sum of its proper divisors (109512698922000).

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

32456094493680 is a wasteful number, since it uses less digits than its factorization.

32456094493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 32456094493680 in words is "thirty-two trillion, four hundred fifty-six billion, ninety-four million, four hundred ninety-three thousand, six hundred eighty".