78425689680 has 240 divisors, whose sum is σ = 284017602960. Its totient is φ = 19279060992.

The previous prime is 78425689669. The next prime is 78425689721. The reversal of 78425689680 is 8698652487.

78425689680 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 568 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 202549824 + 78223139856 = 14232^2 + 279684^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7567062 + ... + 7577418.

It is an arithmetic number, because the mean of its divisors is an integer number (1183406679).

Almost surely, 2^78425689680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78425689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142008801480).

78425689680 is an abundant number, since it is smaller than the sum of its proper divisors (205591913280).

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

78425689680 is a wasteful number, since it uses less digits than its factorization.

78425689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11198 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 78425689680 in words is "seventy-eight billion, four hundred twenty-five million, six hundred eighty-nine thousand, six hundred eighty".