32489710944768 has 720 divisors, whose sum is σ = 122153596044480. Its totient is φ = 8438858588160.

The previous prime is 32489710944731. The next prime is 32489710944857. The reversal of 32489710944768 is 86744901798423.

32489710944768 is a `hidden beast` number, since 3 + 2 + 4 + 89 + 71 + 0 + 9 + 4 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 32489710944696 and 32489710944705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105226198 + ... + 105534506.

It is an arithmetic number, because the mean of its divisors is an integer number (169657772284).

Almost surely, 2^{32489710944768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32489710944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61076798022240).

32489710944768 is an abundant number, since it is smaller than the sum of its proper divisors (89663885099712).

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

32489710944768 is an equidigital number, since it uses as much as digits as its factorization.

32489710944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308371 (or 308332 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 32489710944768 in words is "thirty-two trillion, four hundred eighty-nine billion, seven hundred ten million, nine hundred forty-four thousand, seven hundred sixty-eight".