8427378960 has 720 divisors, whose sum is σ = 38323713792. Its totient is φ = 1614919680.

The previous prime is 8427378919. The next prime is 8427378983. The reversal of 8427378960 is 698737248.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×8427378960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8427378897 and 8427378906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7927389 + ... + 7928451.

Almost surely, 2^8427378960 is an apocalyptic number.

8427378960 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 8427378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19161856896).

8427378960 is an abundant number, since it is smaller than the sum of its proper divisors (29896334832).

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

8427378960 is a wasteful number, since it uses less digits than its factorization.

8427378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8427378960 is about 91800.7568596251. The cubic root of 8427378960 is about 2034.9988799604.

The spelling of 8427378960 in words is "eight billion, four hundred twenty-seven million, three hundred seventy-eight thousand, nine hundred sixty".