67380318720 has 1280 divisors, whose sum is σ = 298465896960. Its totient is φ = 14155776000.

The previous prime is 67380318689. The next prime is 67380318749. The reversal of 67380318720 is 2781308376.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168030520 + ... + 168030920.

It is an arithmetic number, because the mean of its divisors is an integer number (233176482).

Almost surely, 2^67380318720 is an apocalyptic number.

67380318720 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 67380318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149232948480).

67380318720 is an abundant number, since it is smaller than the sum of its proper divisors (231085578240).

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

67380318720 is a wasteful number, since it uses less digits than its factorization.

67380318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67380318720 in words is "sixty-seven billion, three hundred eighty million, three hundred eighteen thousand, seven hundred twenty".