9715765207680 has 512 divisors, whose sum is σ = 39545501184000. Its totient is φ = 2208335007744.

The previous prime is 9715765207663. The next prime is 9715765207693. The reversal of 9715765207680 is 867025675179.

9715765207680 is a `hidden beast` number, since 9 + 7 + 1 + 576 + 52 + 0 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21427477 + ... + 21876203.

It is an arithmetic number, because the mean of its divisors is an integer number (77237307000).

Almost surely, 2^{9715765207680} is an apocalyptic number.

9715765207680 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 9715765207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772750592000).

9715765207680 is an abundant number, since it is smaller than the sum of its proper divisors (29829735976320).

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

9715765207680 is a wasteful number, since it uses less digits than its factorization.

9715765207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448941 (or 448923 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 9715765207680 in words is "nine trillion, seven hundred fifteen billion, seven hundred sixty-five million, two hundred seven thousand, six hundred eighty".