8712603694080 has 2112 divisors, whose sum is σ = 36781344407808. Its totient is φ = 1878754590720.

The previous prime is 8712603694063. The next prime is 8712603694087. The reversal of 8712603694080 is 804963062178.

8712603694080 is a `hidden beast` number, since 87 + 126 + 0 + 36 + 9 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8712603694087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27484554082 + ... + 27484554398.

It is an arithmetic number, because the mean of its divisors is an integer number (17415409284).

Almost surely, 2^{8712603694080} is an apocalyptic number.

8712603694080 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 8712603694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390672203904).

8712603694080 is an abundant number, since it is smaller than the sum of its proper divisors (28068740713728).

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

8712603694080 is a wasteful number, since it uses less digits than its factorization.

8712603694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8712603694080 in words is "eight trillion, seven hundred twelve billion, six hundred three million, six hundred ninety-four thousand, eighty".