67678732800 has 1440 divisors, whose sum is σ = 299208349440. Its totient is φ = 14273740800.

The previous prime is 67678732789. The next prime is 67678732829. The reversal of 67678732800 is 823787676.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

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, 760435156 + ... + 760435244.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 2^67678732800 is an apocalyptic number.

67678732800 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 67678732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149604174720).

67678732800 is an abundant number, since it is smaller than the sum of its proper divisors (231529616640).

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

67678732800 is a wasteful number, since it uses less digits than its factorization.

67678732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 67678732800 in words is "sixty-seven billion, six hundred seventy-eight million, seven hundred thirty-two thousand, eight hundred".