78664143667200 has 1632 divisors, whose sum is σ = 321671336050176. Its totient is φ = 16518091898880.

The previous prime is 78664143667141. The next prime is 78664143667243. The reversal of 78664143667200 is 276634146687.

78664143667200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177571430179 + ... + 177571430621.

Almost surely, 2^{78664143667200} is an apocalyptic number.

78664143667200 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 78664143667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160835668025088).

78664143667200 is an abundant number, since it is smaller than the sum of its proper divisors (243007192382976).

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

78664143667200 is a wasteful number, since it uses less digits than its factorization.

78664143667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 78664143667200 in words is "seventy-eight trillion, six hundred sixty-four billion, one hundred forty-three million, six hundred sixty-seven thousand, two hundred".