8260663065984 has 384 divisors, whose sum is σ = 27349209538560. Its totient is φ = 2344370688000.

The previous prime is 8260663065983. The next prime is 8260663066003. The reversal of 8260663065984 is 4895603660628.

8260663065984 is a `hidden beast` number, since 8 + 2 + 6 + 0 + 6 + 6 + 30 + 6 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8260663065983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446444889 + ... + 1446450599.

It is an arithmetic number, because the mean of its divisors is an integer number (71221899840).

Almost surely, 2^{8260663065984} is an apocalyptic number.

8260663065984 is a gapful number since it is divisible by the number (84) 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 8260663065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674604769280).

8260663065984 is an abundant number, since it is smaller than the sum of its proper divisors (19088546472576).

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

8260663065984 is a wasteful number, since it uses less digits than its factorization.

8260663065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 8260663065984 in words is "eight trillion, two hundred sixty billion, six hundred sixty-three million, sixty-five thousand, nine hundred eighty-four".