298405705680 has 360 divisors, whose sum is σ = 1041118598520. Its totient is φ = 76592517120.

The previous prime is 298405705643. The next prime is 298405705699. The reversal of 298405705680 is 86507504892.

298405705680 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 0 + 5 + 70 + 568 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 80794651536 + 217611054144 = 284244^2 + 466488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279144186 + ... + 279145254.

It is an arithmetic number, because the mean of its divisors is an integer number (2891996107).

Almost surely, 2^298405705680 is an apocalyptic number.

298405705680 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 298405705680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520559299260).

298405705680 is an abundant number, since it is smaller than the sum of its proper divisors (742712892840).

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

298405705680 is a wasteful number, since it uses less digits than its factorization.

298405705680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 298405705680 in words is "two hundred ninety-eight billion, four hundred five million, seven hundred five thousand, six hundred eighty".