96829668000 has 1152 divisors, whose sum is σ = 392654545920. Its totient is φ = 23290675200.

The previous prime is 96829667993. The next prime is 96829668017. The reversal of 96829668000 is 86692869.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 998243952 + ... + 998244048.

It is an arithmetic number, because the mean of its divisors is an integer number (340845960).

Almost surely, 2^96829668000 is an apocalyptic number.

96829668000 is a gapful number since it is divisible by the number (90) 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 96829668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196327272960).

96829668000 is an abundant number, since it is smaller than the sum of its proper divisors (295824877920).

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

96829668000 is a wasteful number, since it uses less digits than its factorization.

96829668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 96829668000 in words is "ninety-six billion, eight hundred twenty-nine million, six hundred sixty-eight thousand".