67812746400 has 1152 divisors, whose sum is σ = 292106304000. Its totient is φ = 15362887680.

The previous prime is 67812746399. The next prime is 67812746429. The reversal of 67812746400 is 464721876.

67812746400 is a `hidden beast` number, since 67 + 8 + 127 + 464 + 0 + 0 = 666.

67812746400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600112744 + ... + 600112856.

It is an arithmetic number, because the mean of its divisors is an integer number (253564500).

Almost surely, 2^67812746400 is an apocalyptic number.

67812746400 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 67812746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146053152000).

67812746400 is an abundant number, since it is smaller than the sum of its proper divisors (224293557600).

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

67812746400 is an equidigital number, since it uses as much as digits as its factorization.

67812746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 67812746400 in words is "sixty-seven billion, eight hundred twelve million, seven hundred forty-six thousand, four hundred".