78668882691840 has 1152 divisors, whose sum is σ = 326359756800000. Its totient is φ = 17570495545344.

The previous prime is 78668882691829. The next prime is 78668882691853. The reversal of 78668882691840 is 4819628886687.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 78668882691840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7492982911 + ... + 7492993409.

It is an arithmetic number, because the mean of its divisors is an integer number (283298400000).

Almost surely, 2^{78668882691840} is an apocalyptic number.

78668882691840 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 78668882691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163179878400000).

78668882691840 is an abundant number, since it is smaller than the sum of its proper divisors (247690874108160).

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

78668882691840 is a wasteful number, since it uses less digits than its factorization.

78668882691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 3567255552, while the sum is 81.

The spelling of 78668882691840 in words is "seventy-eight trillion, six hundred sixty-eight billion, eight hundred eighty-two million, six hundred ninety-one thousand, eight hundred forty".