8947985760 has 480 divisors, whose sum is σ = 36790915392. Its totient is φ = 2005585920.

The previous prime is 8947985749. The next prime is 8947985777. The reversal of 8947985760 is 675897498.

8947985760 is a `hidden beast` number, since 89 + 479 + 85 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8947985760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4807230 + ... + 4809090.

Almost surely, 2^8947985760 is an apocalyptic number.

8947985760 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 8947985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395457696).

8947985760 is an abundant number, since it is smaller than the sum of its proper divisors (27842929632).

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

8947985760 is a wasteful number, since it uses less digits than its factorization.

8947985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The square root of 8947985760 is about 94593.7934539048. The cubic root of 8947985760 is about 2076.0688941018.

The spelling of 8947985760 in words is "eight billion, nine hundred forty-seven million, nine hundred eighty-five thousand, seven hundred sixty".