67972496200 has 288 divisors, whose sum is σ = 194500051200. Its totient is φ = 21965852160.

The previous prime is 67972496173. The next prime is 67972496209. The reversal of 67972496200 is 269427976.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (67972496209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41521782 + ... + 41523418.

It is an arithmetic number, because the mean of its divisors is an integer number (675347400).

Almost surely, 2^67972496200 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 67972496200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97250025600).

67972496200 is an abundant number, since it is smaller than the sum of its proper divisors (126527555000).

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

67972496200 is a wasteful number, since it uses less digits than its factorization.

67972496200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 67972496200 in words is "sixty-seven billion, nine hundred seventy-two million, four hundred ninety-six thousand, two hundred".