9696121344 has 480 divisors, whose sum is σ = 36283927680. Its totient is φ = 2420637696.

The previous prime is 9696121333. The next prime is 9696121361. The reversal of 9696121344 is 4431216969.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9696121344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7966624 + ... + 7967840.

It is an arithmetic number, because the mean of its divisors is an integer number (75591516).

Almost surely, 2^9696121344 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 9696121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141963840).

9696121344 is an abundant number, since it is smaller than the sum of its proper divisors (26587806336).

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

9696121344 is a wasteful number, since it uses less digits than its factorization.

9696121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9696121344 is about 98468.8851566829. The cubic root of 9696121344 is about 2132.3869399435.

The spelling of 9696121344 in words is "nine billion, six hundred ninety-six million, one hundred twenty-one thousand, three hundred forty-four".