7678517575680 has 1764 divisors, whose sum is σ = 32924960321652. Its totient is φ = 1712282664960.

The previous prime is 7678517575621. The next prime is 7678517575693. The reversal of 7678517575680 is 865757158767.

7678517575680 is a `hidden beast` number, since 7 + 6 + 7 + 8 + 5 + 1 + 7 + 57 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1348422598656 + 6330094977024 = 1161216^2 + 2515968^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

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 = 7678517575599 and 7678517575608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 187280916460 + ... + 187280916500.

It is an arithmetic number, because the mean of its divisors is an integer number (18664943493).

Almost surely, 2^{7678517575680} is an apocalyptic number.

7678517575680 is a gapful number since it is divisible by the number (70) 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 7678517575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16462480160826).

7678517575680 is an abundant number, since it is smaller than the sum of its proper divisors (25246442745972).

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

7678517575680 is an frugal number, since it uses more digits than its factorization.

7678517575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 691488000, while the sum is 72.

The spelling of 7678517575680 in words is "seven trillion, six hundred seventy-eight billion, five hundred seventeen million, five hundred seventy-five thousand, six hundred eighty".