96769573824 has 1008 divisors, whose sum is σ = 358424317440. Its totient is φ = 22518988800.

The previous prime is 96769573783. The next prime is 96769573837. The reversal of 96769573824 is 42837596769.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (137168640) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1362951709 + ... + 1362951779.

It is an arithmetic number, because the mean of its divisors is an integer number (355579680).

Almost surely, 2^96769573824 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 96769573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179212158720).

96769573824 is an abundant number, since it is smaller than the sum of its proper divisors (261654743616).

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

96769573824 is a wasteful number, since it uses less digits than its factorization.

96769573824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 66.

The spelling of 96769573824 in words is "ninety-six billion, seven hundred sixty-nine million, five hundred seventy-three thousand, eight hundred twenty-four".