296991864000 has 1344 divisors, whose sum is σ = 1199427989760. Its totient is φ = 69672960000.

The previous prime is 296991863983. The next prime is 296991864017. The reversal of 296991864000 is 468199692.

It is an interprime number because it is at equal distance from previous prime (296991863983) and next prime (296991864017).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2724695946 + ... + 2724696054.

It is an arithmetic number, because the mean of its divisors is an integer number (892431540).

Almost surely, 2^296991864000 is an apocalyptic number.

296991864000 is a gapful number since it is divisible by the number (20) 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 296991864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599713994880).

296991864000 is an abundant number, since it is smaller than the sum of its proper divisors (902436125760).

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

296991864000 is a wasteful number, since it uses less digits than its factorization.

296991864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 296991864000 in words is "two hundred ninety-six billion, nine hundred ninety-one million, eight hundred sixty-four thousand".