67382340480 has 1024 divisors, whose sum is σ = 298248652800. Its totient is φ = 13998292992.

The previous prime is 67382340463. The next prime is 67382340491. The reversal of 67382340480 is 8404328376.

67382340480 is a `hidden beast` number, since 67 + 3 + 82 + 34 + 0 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114790747 + ... + 114791333.

It is an arithmetic number, because the mean of its divisors is an integer number (291258450).

Almost surely, 2^67382340480 is an apocalyptic number.

67382340480 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 67382340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149124326400).

67382340480 is an abundant number, since it is smaller than the sum of its proper divisors (230866312320).

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

67382340480 is a wasteful number, since it uses less digits than its factorization.

67382340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 67382340480 in words is "sixty-seven billion, three hundred eighty-two million, three hundred forty thousand, four hundred eighty".