67709940480 has 648 divisors, whose sum is σ = 293512079952. Its totient is φ = 14284505088.

The previous prime is 67709940449. The next prime is 67709940503. The reversal of 67709940480 is 8404990776.

It is a happy number.

67709940480 is a `hidden beast` number, since 6 + 7 + 70 + 9 + 94 + 0 + 480 = 666.

67709940480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7333627 + ... + 7342853.

Almost surely, 2^67709940480 is an apocalyptic number.

67709940480 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 67709940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146756039976).

67709940480 is an abundant number, since it is smaller than the sum of its proper divisors (225802139472).

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

67709940480 is a wasteful number, since it uses less digits than its factorization.

67709940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9281 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 67709940480 in words is "sixty-seven billion, seven hundred nine million, nine hundred forty thousand, four hundred eighty".