78468438071430 has 768 divisors, whose sum is σ = 252550777070592. Its totient is φ = 17313730560000.

The previous prime is 78468438071407. The next prime is 78468438071437. The reversal of 78468438071430 is 3417083486487.

78468438071430 is a `hidden beast` number, since 7 + 8 + 46 + 84 + 3 + 80 + 7 + 1 + 430 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78468438071437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1973482750 + ... + 1973522510.

It is an arithmetic number, because the mean of its divisors is an integer number (328842157644).

Almost surely, 2^{78468438071430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78468438071430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126275388535296).

78468438071430 is an abundant number, since it is smaller than the sum of its proper divisors (174082338999162).

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

78468438071430 is a wasteful number, since it uses less digits than its factorization.

78468438071430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39955 (or 39943 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 78468438071430 in words is "seventy-eight trillion, four hundred sixty-eight billion, four hundred thirty-eight million, seventy-one thousand, four hundred thirty".