67149338256 has 800 divisors, whose sum is σ = 263279149056. Its totient is φ = 15956352000.

The previous prime is 67149338237. The next prime is 67149338261. The reversal of 67149338256 is 65283394176.

67149338256 is a `hidden beast` number, since 6 + 71 + 493 + 3 + 82 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 159 ways as a sum of consecutive naturals, for example, 247783401 + ... + 247783671.

Almost surely, 2^67149338256 is an apocalyptic number.

67149338256 is a gapful number since it is divisible by the number (66) 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 67149338256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131639574528).

67149338256 is an abundant number, since it is smaller than the sum of its proper divisors (196129810800).

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

67149338256 is a wasteful number, since it uses less digits than its factorization.

67149338256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 67149338256 in words is "sixty-seven billion, one hundred forty-nine million, three hundred thirty-eight thousand, two hundred fifty-six".