296640284640 has 1440 divisors, whose sum is σ = 1239227652096. Its totient is φ = 59460065280.

The previous prime is 296640284623. The next prime is 296640284641. The reversal of 296640284640 is 46482046692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296640284641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9569041425 + ... + 9569041455.

Almost surely, 2^296640284640 is an apocalyptic number.

296640284640 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 296640284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619613826048).

296640284640 is an abundant number, since it is smaller than the sum of its proper divisors (942587367456).

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

296640284640 is a wasteful number, since it uses less digits than its factorization.

296640284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 296640284640 in words is "two hundred ninety-six billion, six hundred forty million, two hundred eighty-four thousand, six hundred forty".