9712042560 has 560 divisors, whose sum is σ = 39353288832. Its totient is φ = 2250547200.

The previous prime is 9712042547. The next prime is 9712042597. The reversal of 9712042560 is 652402179.

9712042560 is a `hidden beast` number, since 9 + 71 + 20 + 4 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6557020 + ... + 6558500.

Almost surely, 2^9712042560 is an apocalyptic number.

9712042560 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 9712042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676644416).

9712042560 is an abundant number, since it is smaller than the sum of its proper divisors (29641246272).

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

9712042560 is a wasteful number, since it uses less digits than its factorization.

9712042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9712042560 is about 98549.6958899417. The cubic root of 9712042560 is about 2133.5534416991.

The spelling of 9712042560 in words is "nine billion, seven hundred twelve million, forty-two thousand, five hundred sixty".