67240067328000 has 5184 divisors, whose sum is σ = 315337241419200. Its totient is φ = 14221644595200.

The previous prime is 67240067327947. The next prime is 67240067328011. The reversal of 67240067328000 is 82376004276.

67240067328000 is a `hidden beast` number, since 67 + 240 + 0 + 6 + 73 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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 431 ways as a sum of consecutive naturals, for example, 1563722495979 + ... + 1563722496021.

It is an arithmetic number, because the mean of its divisors is an integer number (60828943175).

Almost surely, 2^{67240067328000} is an apocalyptic number.

67240067328000 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 67240067328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157668620709600).

67240067328000 is an abundant number, since it is smaller than the sum of its proper divisors (248097174091200).

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

67240067328000 is an frugal number, since it uses more digits than its factorization.

67240067328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 67240067328000 in words is "sixty-seven trillion, two hundred forty billion, sixty-seven million, three hundred twenty-eight thousand".