67671261504 has 504 divisors, whose sum is σ = 252116417280. Its totient is φ = 16967301120.

The previous prime is 67671261379. The next prime is 67671261509. The reversal of 67671261504 is 40516217676.

67671261504 is a `hidden beast` number, since 6 + 76 + 7 + 12 + 61 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 67671261504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67671261509) 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 71 ways as a sum of consecutive naturals, for example, 14145897 + ... + 14150679.

Almost surely, 2^67671261504 is an apocalyptic number.

67671261504 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 67671261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126058208640).

67671261504 is an abundant number, since it is smaller than the sum of its proper divisors (184445155776).

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

67671261504 is a wasteful number, since it uses less digits than its factorization.

67671261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 67671261504 in words is "sixty-seven billion, six hundred seventy-one million, two hundred sixty-one thousand, five hundred four".