67400228400 has 240 divisors, whose sum is σ = 219469182240. Its totient is φ = 17678131200.

The previous prime is 67400228387. The next prime is 67400228443. The reversal of 67400228400 is 482200476.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40382766 + ... + 40384434.

It is an arithmetic number, because the mean of its divisors is an integer number (914454926).

Almost surely, 2^67400228400 is an apocalyptic number.

67400228400 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 67400228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734591120).

67400228400 is an abundant number, since it is smaller than the sum of its proper divisors (152068953840).

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

67400228400 is a wasteful number, since it uses less digits than its factorization.

67400228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 67400228400 its reverse (482200476), we get a palindrome (67882428876).

The spelling of 67400228400 in words is "sixty-seven billion, four hundred million, two hundred twenty-eight thousand, four hundred".