296672201280 has 2016 divisors, whose sum is σ = 1365981926400. Its totient is φ = 58450968576.

The previous prime is 296672201219. The next prime is 296672201281. The reversal of 296672201280 is 82102276692.

296672201280 is a `hidden beast` number, since 2 + 96 + 67 + 220 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (296672201281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3333395476 + ... + 3333395564.

It is an arithmetic number, because the mean of its divisors is an integer number (677570400).

Almost surely, 2^296672201280 is an apocalyptic number.

296672201280 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 296672201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682990963200).

296672201280 is an abundant number, since it is smaller than the sum of its proper divisors (1069309725120).

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

296672201280 is a wasteful number, since it uses less digits than its factorization.

296672201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 296672201280 in words is "two hundred ninety-six billion, six hundred seventy-two million, two hundred one thousand, two hundred eighty".