296427804960 has 576 divisors, whose sum is σ = 1100587606272. Its totient is φ = 66864881664.

The previous prime is 296427804941. The next prime is 296427804977. The reversal of 296427804960 is 69408724692.

It is a super-3 number, since 3×296427804960³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 296427804960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070136342 + ... + 1070136618.

It is an arithmetic number, because the mean of its divisors is an integer number (1910742372).

Almost surely, 2^296427804960 is an apocalyptic number.

296427804960 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 296427804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550293803136).

296427804960 is an abundant number, since it is smaller than the sum of its proper divisors (804159801312).

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

296427804960 is a wasteful number, since it uses less digits than its factorization.

296427804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 296427804960 in words is "two hundred ninety-six billion, four hundred twenty-seven million, eight hundred four thousand, nine hundred sixty".