78657488448 has 672 divisors, whose sum is σ = 274597392384. Its totient is φ = 19430400000.

The previous prime is 78657488347. The next prime is 78657488449. The reversal of 78657488448 is 84488475687.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (78657488449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313376323 + ... + 313376573.

It is an arithmetic number, because the mean of its divisors is an integer number (408627072).

Almost surely, 2^78657488448 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 78657488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137298696192).

78657488448 is an abundant number, since it is smaller than the sum of its proper divisors (195939903936).

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

78657488448 is a wasteful number, since it uses less digits than its factorization.

78657488448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its digits is 385351680, while the sum is 69.

The spelling of 78657488448 in words is "seventy-eight billion, six hundred fifty-seven million, four hundred eighty-eight thousand, four hundred forty-eight".