32420716425216 has 1872 divisors, whose sum is σ = 121138127510400. Its totient is φ = 8612246716416.

The previous prime is 32420716425191. The next prime is 32420716425239. The reversal of 32420716425216 is 61252461702423.

32420716425216 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 0 + 7 + 1 + 6 + 425 + 216 = 666.

It is a super-2 number, since 2×32420716425216² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 54672371416 + ... + 54672372008.

It is an arithmetic number, because the mean of its divisors is an integer number (64710538200).

Almost surely, 2^{32420716425216} is an apocalyptic number.

32420716425216 is a gapful number since it is divisible by the number (36) 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 32420716425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60569063755200).

32420716425216 is an abundant number, since it is smaller than the sum of its proper divisors (88717411085184).

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

32420716425216 is an equidigital number, since it uses as much as digits as its factorization.

32420716425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 32420716425216 in words is "thirty-two trillion, four hundred twenty billion, seven hundred sixteen million, four hundred twenty-five thousand, two hundred sixteen".