32494308387840 has 1056 divisors, whose sum is σ = 123203727017280. Its totient is φ = 7870937038848.

The previous prime is 32494308387823. The next prime is 32494308387847. The reversal of 32494308387840 is 4878380349423.

32494308387840 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 430 + 83 + 87 + 8 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (32494308387847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10063271346 + ... + 10063274574.

Almost surely, 2^{32494308387840} is an apocalyptic number.

32494308387840 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 32494308387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61601863508640).

32494308387840 is an abundant number, since it is smaller than the sum of its proper divisors (90709418629440).

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

32494308387840 is a wasteful number, since it uses less digits than its factorization.

32494308387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 32494308387840 in words is "thirty-two trillion, four hundred ninety-four billion, three hundred eight million, three hundred eighty-seven thousand, eight hundred forty".