67448438400 has 1152 divisors, whose sum is σ = 283299010560. Its totient is φ = 13787136000.

The previous prime is 67448438381. The next prime is 67448438413. The reversal of 67448438400 is 483484476.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 67448438400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 446678325 + ... + 446678475.

It is an arithmetic number, because the mean of its divisors is an integer number (245919280).

Almost surely, 2^67448438400 is an apocalyptic number.

67448438400 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 67448438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141649505280).

67448438400 is an abundant number, since it is smaller than the sum of its proper divisors (215850572160).

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

67448438400 is a wasteful number, since it uses less digits than its factorization.

67448438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 67448438400 in words is "sixty-seven billion, four hundred forty-eight million, four hundred thirty-eight thousand, four hundred".