67473838080 has 416 divisors, whose sum is σ = 261708347520. Its totient is φ = 16355819520.

The previous prime is 67473838067. The next prime is 67473838111. The reversal of 67473838080 is 8083837476.

67473838080 is a `hidden beast` number, since 67 + 473 + 8 + 38 + 0 + 80 = 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6077014 + ... + 6088106.

Almost surely, 2^67473838080 is an apocalyptic number.

67473838080 is a gapful number since it is divisible by the number (60) 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 67473838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130854173760).

67473838080 is an abundant number, since it is smaller than the sum of its proper divisors (194234509440).

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

67473838080 is a wasteful number, since it uses less digits than its factorization.

67473838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 67473838080 in words is "sixty-seven billion, four hundred seventy-three million, eight hundred thirty-eight thousand, eighty".