67334604048 has 280 divisors, whose sum is σ = 200990974296. Its totient is φ = 21835008000.

The previous prime is 67334604011. The next prime is 67334604059. The reversal of 67334604048 is 84040643376.

67334604048 is a `hidden beast` number, since 6 + 7 + 3 + 34 + 604 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 764411904 + 66570192144 = 27648^2 + 258012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67334603994 and 67334604012.

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 55 ways as a sum of consecutive naturals, for example, 71861436 + ... + 71862372.

Almost surely, 2^67334604048 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 67334604048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100495487148).

67334604048 is an abundant number, since it is smaller than the sum of its proper divisors (133656370248).

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

67334604048 is a wasteful number, since it uses less digits than its factorization.

67334604048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 67334604048 in words is "sixty-seven billion, three hundred thirty-four million, six hundred four thousand, forty-eight".