67824226800 has 1440 divisors, whose sum is σ = 291536340480. Its totient is φ = 14902272000.

The previous prime is 67824226741. The next prime is 67824226819. The reversal of 67824226800 is 862242876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 955270765 + ... + 955270835.

It is an arithmetic number, because the mean of its divisors is an integer number (202455792).

Almost surely, 2^67824226800 is an apocalyptic number.

67824226800 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 67824226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145768170240).

67824226800 is an abundant number, since it is smaller than the sum of its proper divisors (223712113680).

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

67824226800 is a wasteful number, since it uses less digits than its factorization.

67824226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 67824226800 in words is "sixty-seven billion, eight hundred twenty-four million, two hundred twenty-six thousand, eight hundred".