67014440640 has 448 divisors, whose sum is σ = 286082841600. Its totient is φ = 14416330752.

The previous prime is 67014440639. The next prime is 67014440651. The reversal of 67014440640 is 4604441076.

67014440640 is a `hidden beast` number, since 6 + 7 + 0 + 1 + 4 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67014440595 and 67014440604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995571 + ... + 1060749.

Almost surely, 2^67014440640 is an apocalyptic number.

67014440640 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 67014440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143041420800).

67014440640 is an abundant number, since it is smaller than the sum of its proper divisors (219068400960).

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

67014440640 is a wasteful number, since it uses less digits than its factorization.

67014440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65229 (or 65213 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 67014440640 in words is "sixty-seven billion, fourteen million, four hundred forty thousand, six hundred forty".