297638274864480 has 768 divisors, whose sum is σ = 1053321344216064. Its totient is φ = 70012127969280.

The previous prime is 297638274864479. The next prime is 297638274864563. The reversal of 297638274864480 is 84468472836792.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 297638274864396 and 297638274864405.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 182936861427 + ... + 182936863053.

It is an arithmetic number, because the mean of its divisors is an integer number (1371512166948).

Almost surely, 2^{297638274864480} is an apocalyptic number.

297638274864480 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 297638274864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526660672108032).

297638274864480 is an abundant number, since it is smaller than the sum of its proper divisors (755683069351584).

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

297638274864480 is a wasteful number, since it uses less digits than its factorization.

297638274864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 6242697216, while the sum is 78.

The spelling of 297638274864480 in words is "two hundred ninety-seven trillion, six hundred thirty-eight billion, two hundred seventy-four million, eight hundred sixty-four thousand, four hundred eighty".