96664995840 has 768 divisors, whose sum is σ = 379282176000. Its totient is φ = 20525875200.

The previous prime is 96664995811. The next prime is 96664995841. The reversal of 96664995840 is 4859946669.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96664995841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241059640 + ... + 241060040.

It is an arithmetic number, because the mean of its divisors is an integer number (493857000).

Almost surely, 2^96664995840 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 96664995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189641088000).

96664995840 is an abundant number, since it is smaller than the sum of its proper divisors (282617180160).

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

96664995840 is a wasteful number, since it uses less digits than its factorization.

96664995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 96664995840 in words is "ninety-six billion, six hundred sixty-four million, nine hundred ninety-five thousand, eight hundred forty".