78042566784 has 384 divisors, whose sum is σ = 258486768000. Its totient is φ = 20426784768.

The previous prime is 78042566729. The next prime is 78042566807. The reversal of 78042566784 is 48766524087.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67685952 + ... + 67687104.

It is an arithmetic number, because the mean of its divisors is an integer number (673142625).

Almost surely, 2^78042566784 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 78042566784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129243384000).

78042566784 is an abundant number, since it is smaller than the sum of its proper divisors (180444201216).

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

78042566784 is a wasteful number, since it uses less digits than its factorization.

78042566784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 78042566784 in words is "seventy-eight billion, forty-two million, five hundred sixty-six thousand, seven hundred eighty-four".