298648097280 has 640 divisors, whose sum is σ = 1164165488640. Its totient is φ = 72114831360.

The previous prime is 298648097273. The next prime is 298648097317. The reversal of 298648097280 is 82790846892.

298648097280 is a `hidden beast` number, since 2 + 9 + 8 + 6 + 480 + 9 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47620545 + ... + 47626815.

It is an arithmetic number, because the mean of its divisors is an integer number (1819008576).

Almost surely, 2^298648097280 is an apocalyptic number.

298648097280 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 298648097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582082744320).

298648097280 is an abundant number, since it is smaller than the sum of its proper divisors (865517391360).

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

298648097280 is a wasteful number, since it uses less digits than its factorization.

298648097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 298648097280 in words is "two hundred ninety-eight billion, six hundred forty-eight million, ninety-seven thousand, two hundred eighty".