67994353152 has 320 divisors, whose sum is σ = 229123192320. Its totient is φ = 19707494400.

The previous prime is 67994353123. The next prime is 67994353159. The reversal of 67994353152 is 25135349976.

67994353152 is a `hidden beast` number, since 67 + 9 + 9 + 43 + 531 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67994353159) by changing a digit.

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, 3487752 + ... + 3507192.

It is an arithmetic number, because the mean of its divisors is an integer number (716009976).

Almost surely, 2^67994353152 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 67994353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114561596160).

67994353152 is an abundant number, since it is smaller than the sum of its proper divisors (161128839168).

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

67994353152 is a wasteful number, since it uses less digits than its factorization.

67994353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19502 (or 19480 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 67994353152 in words is "sixty-seven billion, nine hundred ninety-four million, three hundred fifty-three thousand, one hundred fifty-two".