96329507904 has 336 divisors, whose sum is σ = 330520584576. Its totient is φ = 27247104000.

The previous prime is 96329507903. The next prime is 96329507909. The reversal of 96329507904 is 40970592369.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (96329507903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10990884 + ... + 10999644.

It is an arithmetic number, because the mean of its divisors is an integer number (983692216).

Almost surely, 2^96329507904 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 96329507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165260292288).

96329507904 is an abundant number, since it is smaller than the sum of its proper divisors (234191076672).

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

96329507904 is a wasteful number, since it uses less digits than its factorization.

96329507904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 96329507904 in words is "ninety-six billion, three hundred twenty-nine million, five hundred seven thousand, nine hundred four".