8146978560 has 432 divisors, whose sum is σ = 33263892480. Its totient is φ = 1801543680.

The previous prime is 8146978559. The next prime is 8146978571. The reversal of 8146978560 is 658796418.

8146978560 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 9 + 78 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8146978497 and 8146978506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498211 + ... + 2501469.

Almost surely, 2^8146978560 is an apocalyptic number.

8146978560 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 8146978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16631946240).

8146978560 is an abundant number, since it is smaller than the sum of its proper divisors (25116913920).

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

8146978560 is a wasteful number, since it uses less digits than its factorization.

8146978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8146978560 is about 90260.6146666418. The cubic root of 8146978560 is about 2012.1739603245.

The spelling of 8146978560 in words is "eight billion, one hundred forty-six million, nine hundred seventy-eight thousand, five hundred sixty".