296016002672 has 160 divisors (see below), whose sum is σ = 660617717760. Its totient is φ = 127451520000.

The previous prime is 296016002671. The next prime is 296016002693. The reversal of 296016002672 is 276200610692.

It is a super-3 number, since 3×296016002672³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296016002671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204007547 + ... + 204008997.

It is an arithmetic number, because the mean of its divisors is an integer number (4128860736).

Almost surely, 2^296016002672 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 296016002672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330308858880).

296016002672 is an abundant number, since it is smaller than the sum of its proper divisors (364601715088).

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

296016002672 is a wasteful number, since it uses less digits than its factorization.

296016002672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 296016002672 in words is "two hundred ninety-six billion, sixteen million, two thousand, six hundred seventy-two".