8346970560 has 224 divisors, whose sum is σ = 27986492160. Its totient is φ = 2101911552.

The previous prime is 8346970487. The next prime is 8346970589. The reversal of 8346970560 is 650796438.

It is a super-3 number, since 3×8346970560³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8079804 + ... + 8080836.

Almost surely, 2^8346970560 is an apocalyptic number.

8346970560 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 8346970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993246080).

8346970560 is an abundant number, since it is smaller than the sum of its proper divisors (19639521600).

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

8346970560 is a wasteful number, since it uses less digits than its factorization.

8346970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 8346970560 is about 91361.7565505392. The cubic root of 8346970560 is about 2028.5059873657.

The spelling of 8346970560 in words is "eight billion, three hundred forty-six million, nine hundred seventy thousand, five hundred sixty".