96407682336 has 288 divisors, whose sum is σ = 331227187200. Its totient is φ = 25983659520.

The previous prime is 96407682313. The next prime is 96407682353. The reversal of 96407682336 is 63328670469.

It is a tau number, because it is divible by the number of its divisors (288).

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, 9149391 + ... + 9159921.

It is an arithmetic number, because the mean of its divisors is an integer number (1150094400).

Almost surely, 2^96407682336 is an apocalyptic number.

96407682336 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 96407682336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165613593600).

96407682336 is an abundant number, since it is smaller than the sum of its proper divisors (234819504864).

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

96407682336 is a wasteful number, since it uses less digits than its factorization.

96407682336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 96407682336 in words is "ninety-six billion, four hundred seven million, six hundred eighty-two thousand, three hundred thirty-six".