9787425064560 has 960 divisors, whose sum is σ = 39525686194176. Its totient is φ = 2138799513600.

The previous prime is 9787425064523. The next prime is 9787425064597. The reversal of 9787425064560 is 654605247879.

9787425064560 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 4 + 2 + 5 + 0 + 64 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (9787425064523) and next prime (9787425064597).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2434075350 + ... + 2434079370.

Almost surely, 2^{9787425064560} is an apocalyptic number.

9787425064560 is a gapful number since it is divisible by the number (90) 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 9787425064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762843097088).

9787425064560 is an abundant number, since it is smaller than the sum of its proper divisors (29738261129616).

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

9787425064560 is a wasteful number, since it uses less digits than its factorization.

9787425064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 9787425064560 in words is "nine trillion, seven hundred eighty-seven billion, four hundred twenty-five million, sixty-four thousand, five hundred sixty".