67346380800 has 432 divisors, whose sum is σ = 250170003720. Its totient is φ = 17955717120.

The previous prime is 67346380757. The next prime is 67346380837. The reversal of 67346380800 is 808364376.

67346380800 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 638 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12438894 + ... + 12444306.

Almost surely, 2^67346380800 is an apocalyptic number.

67346380800 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 67346380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125085001860).

67346380800 is an abundant number, since it is smaller than the sum of its proper divisors (182823622920).

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

67346380800 is an equidigital number, since it uses as much as digits as its factorization.

67346380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 67346380800 in words is "sixty-seven billion, three hundred forty-six million, three hundred eighty thousand, eight hundred".