67283295456 has 192 divisors, whose sum is σ = 200048099328. Its totient is φ = 19645452288.

The previous prime is 67283295421. The next prime is 67283295481. The reversal of 67283295456 is 65459238276.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67283295396 and 67283295405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3636180 + ... + 3654636.

It is an arithmetic number, because the mean of its divisors is an integer number (1041917184).

Almost surely, 2^67283295456 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 67283295456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100024049664).

67283295456 is an abundant number, since it is smaller than the sum of its proper divisors (132764803872).

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

67283295456 is a wasteful number, since it uses less digits than its factorization.

67283295456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633 (or 18625 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 67283295456 in words is "sixty-seven billion, two hundred eighty-three million, two hundred ninety-five thousand, four hundred fifty-six".