9407821696896 has 512 divisors, whose sum is σ = 31624260433920. Its totient is φ = 2414468136960.

The previous prime is 9407821696877. The next prime is 9407821696969. The reversal of 9407821696896 is 6986961287049.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484504980 + ... + 484524396.

It is an arithmetic number, because the mean of its divisors is an integer number (61766133660).

Almost surely, 2^{9407821696896} is an apocalyptic number.

9407821696896 is a gapful number since it is divisible by the number (96) 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 9407821696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812130216960).

9407821696896 is an abundant number, since it is smaller than the sum of its proper divisors (22216438737024).

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

9407821696896 is a wasteful number, since it uses less digits than its factorization.

9407821696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19942 (or 19930 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 75.

The spelling of 9407821696896 in words is "nine trillion, four hundred seven billion, eight hundred twenty-one million, six hundred ninety-six thousand, eight hundred ninety-six".