67602643416 has 960 divisors, whose sum is σ = 258620947200. Its totient is φ = 16264281600.

The previous prime is 67602643393. The next prime is 67602643417. The reversal of 67602643416 is 61434620676.

It is a happy number.

67602643416 is a `hidden beast` number, since 6 + 7 + 602 + 6 + 4 + 34 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67602643417) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 404806165 + ... + 404806331.

It is an arithmetic number, because the mean of its divisors is an integer number (269396820).

Almost surely, 2^67602643416 is an apocalyptic number.

67602643416 is a gapful number since it is divisible by the number (66) 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 67602643416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129310473600).

67602643416 is an abundant number, since it is smaller than the sum of its proper divisors (191018303784).

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

67602643416 is a wasteful number, since it uses less digits than its factorization.

67602643416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

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

The spelling of 67602643416 in words is "sixty-seven billion, six hundred two million, six hundred forty-three thousand, four hundred sixteen".