67282811904 has 704 divisors, whose sum is σ = 237700915200. Its totient is φ = 16403988480.

The previous prime is 67282811899. The next prime is 67282811917. The reversal of 67282811904 is 40911828276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 451562422 + ... + 451562570.

Almost surely, 2^67282811904 is an apocalyptic number.

67282811904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67282811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118850457600).

67282811904 is an abundant number, since it is smaller than the sum of its proper divisors (170418103296).

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

67282811904 is a wasteful number, since it uses less digits than its factorization.

67282811904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 67282811904 in words is "sixty-seven billion, two hundred eighty-two million, eight hundred eleven thousand, nine hundred four".