78069637164288 has 432 divisors, whose sum is σ = 266338623958400. Its totient is φ = 20277819555840.

The previous prime is 78069637164247. The next prime is 78069637164397. The reversal of 78069637164288 is 88246173696087.

78069637164288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 30649656 + ... + 33098952.

Almost surely, 2^{78069637164288} 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 78069637164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133169311979200).

78069637164288 is an abundant number, since it is smaller than the sum of its proper divisors (188268986794112).

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

78069637164288 is a wasteful number, since it uses less digits than its factorization.

78069637164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449359 (or 2449320 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 75.

The spelling of 78069637164288 in words is "seventy-eight trillion, sixty-nine billion, six hundred thirty-seven million, one hundred sixty-four thousand, two hundred eighty-eight".