8298741760 has 240 divisors, whose sum is σ = 21657676320. Its totient is φ = 3040870400.

The previous prime is 8298741751. The next prime is 8298741779. The reversal of 8298741760 is 671478928.

It is a super-2 number, since 2×8298741760² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8298741698 and 8298741707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82165710 + ... + 82165810.

It is an arithmetic number, because the mean of its divisors is an integer number (90240318).

Almost surely, 2^8298741760 is an apocalyptic number.

8298741760 is a gapful number since it is divisible by the number (80) 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 8298741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828838160).

8298741760 is an abundant number, since it is smaller than the sum of its proper divisors (13358934560).

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

8298741760 is a wasteful number, since it uses less digits than its factorization.

8298741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The square root of 8298741760 is about 91097.4300405890. The cubic root of 8298741760 is about 2024.5915355583.

The spelling of 8298741760 in words is "eight billion, two hundred ninety-eight million, seven hundred forty-one thousand, seven hundred sixty".