96769888320 has 336 divisors, whose sum is σ = 358307566848. Its totient is φ = 22063104000.

The previous prime is 96769888291. The next prime is 96769888349. The reversal of 96769888320 is 2388896769.

It is an interprime number because it is at equal distance from previous prime (96769888291) and next prime (96769888349).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×96769888320² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 20365945 + ... + 20370695.

It is an arithmetic number, because the mean of its divisors is an integer number (1066391568).

Almost surely, 2^96769888320 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 96769888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179153783424).

96769888320 is an abundant number, since it is smaller than the sum of its proper divisors (261537678528).

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

96769888320 is a wasteful number, since it uses less digits than its factorization.

96769888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 96769888320 in words is "ninety-six billion, seven hundred sixty-nine million, eight hundred eighty-eight thousand, three hundred twenty".