67682342448 has 320 divisors, whose sum is σ = 227975884800. Its totient is φ = 18826629120.

The previous prime is 67682342423. The next prime is 67682342461. The reversal of 67682342448 is 84424328676.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 67682342394 and 67682342403.

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 63 ways as a sum of consecutive naturals, for example, 17437468 + ... + 17441348.

It is an arithmetic number, because the mean of its divisors is an integer number (712424640).

Almost surely, 2^67682342448 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 67682342448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113987942400).

67682342448 is an abundant number, since it is smaller than the sum of its proper divisors (160293542352).

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

67682342448 is a wasteful number, since it uses less digits than its factorization.

67682342448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4045 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 67682342448 in words is "sixty-seven billion, six hundred eighty-two million, three hundred forty-two thousand, four hundred forty-eight".