67153379328 has 720 divisors, whose sum is σ = 242905703040. Its totient is φ = 17439916032.

The previous prime is 67153379327. The next prime is 67153379387. The reversal of 67153379328 is 82397335176.

67153379328 is a `hidden beast` number, since 6 + 7 + 1 + 533 + 79 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67153379323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754532308 + ... + 754532396.

It is an arithmetic number, because the mean of its divisors is an integer number (337369032).

Almost surely, 2^67153379328 is an apocalyptic number.

67153379328 is a gapful number since it is divisible by the number (68) 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 67153379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121452851520).

67153379328 is an abundant number, since it is smaller than the sum of its proper divisors (175752323712).

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

67153379328 is a wasteful number, since it uses less digits than its factorization.

67153379328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 67153379328 in words is "sixty-seven billion, one hundred fifty-three million, three hundred seventy-nine thousand, three hundred twenty-eight".