8427603938688 has 288 divisors, whose sum is σ = 27376856532480. Its totient is φ = 2484795709440.

The previous prime is 8427603938659. The next prime is 8427603938693. The reversal of 8427603938688 is 8868393067248.

It is a happy number.

8427603938688 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 603 + 9 + 3 + 8 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8427603938688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4340481 + ... + 5974527.

Almost surely, 2^{8427603938688} is an apocalyptic number.

8427603938688 is a gapful number since it is divisible by the number (88) 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 8427603938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688428266240).

8427603938688 is an abundant number, since it is smaller than the sum of its proper divisors (18949252593792).

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

8427603938688 is a wasteful number, since it uses less digits than its factorization.

8427603938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634126 (or 1634100 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 8427603938688 in words is "eight trillion, four hundred twenty-seven billion, six hundred three million, nine hundred thirty-eight thousand, six hundred eighty-eight".