8759779015680 has 1056 divisors, whose sum is σ = 39505679873280. Its totient is φ = 1820198338560.

The previous prime is 8759779015657. The next prime is 8759779015763. The reversal of 8759779015680 is 865109779578.

8759779015680 is a `hidden beast` number, since 8 + 7 + 59 + 7 + 7 + 9 + 0 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8759779015599 and 8759779015608.

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, 74452579 + ... + 74570141.

Almost surely, 2^{8759779015680} is an apocalyptic number.

8759779015680 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 8759779015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752839936640).

8759779015680 is an abundant number, since it is smaller than the sum of its proper divisors (30745900857600).

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

8759779015680 is a wasteful number, since it uses less digits than its factorization.

8759779015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117622 (or 117591 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 8759779015680 in words is "eight trillion, seven hundred fifty-nine billion, seven hundred seventy-nine million, fifteen thousand, six hundred eighty".