9707061721680 has 480 divisors, whose sum is σ = 33804016975872. Its totient is φ = 2493697536000.

The previous prime is 9707061721673. The next prime is 9707061721727. The reversal of 9707061721680 is 861271607079.

9707061721680 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 0 + 617 + 2 + 16 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8433589105 + ... + 8433590255.

Almost surely, 2^{9707061721680} is an apocalyptic number.

9707061721680 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 9707061721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902008487936).

9707061721680 is an abundant number, since it is smaller than the sum of its proper divisors (24096955254192).

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

9707061721680 is a wasteful number, since it uses less digits than its factorization.

9707061721680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 9707061721680 in words is "nine trillion, seven hundred seven billion, sixty-one million, seven hundred twenty-one thousand, six hundred eighty".