67013466624 has 240 divisors, whose sum is σ = 208757701152. Its totient is φ = 20572545024.

The previous prime is 67013466617. The next prime is 67013466683. The reversal of 67013466624 is 42666431076.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 67013466624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33724959 + ... + 33726945.

Almost surely, 2^67013466624 is an apocalyptic number.

67013466624 is a gapful number since it is divisible by the number (64) 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 67013466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104378850576).

67013466624 is an abundant number, since it is smaller than the sum of its proper divisors (141744234528).

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

67013466624 is a wasteful number, since it uses less digits than its factorization.

67013466624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 67013466624 in words is "sixty-seven billion, thirteen million, four hundred sixty-six thousand, six hundred twenty-four".