8432196304896 has 1920 divisors, whose sum is σ = 32976289382400. Its totient is φ = 2069008220160.

The previous prime is 8432196304853. The next prime is 8432196304913. The reversal of 8432196304896 is 6984036912348.

8432196304896 is a `hidden beast` number, since 8 + 4 + 32 + 1 + 96 + 30 + 489 + 6 = 666.

It is a super-2 number, since 2×8432196304896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36189683596 + ... + 36189683828.

It is an arithmetic number, because the mean of its divisors is an integer number (17175150720).

Almost surely, 2^{8432196304896} 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 8432196304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488144691200).

8432196304896 is an abundant number, since it is smaller than the sum of its proper divisors (24544093077504).

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

8432196304896 is a wasteful number, since it uses less digits than its factorization.

8432196304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 8432196304896 in words is "eight trillion, four hundred thirty-two billion, one hundred ninety-six million, three hundred four thousand, eight hundred ninety-six".