67638545520 has 360 divisors, whose sum is σ = 264126438576. Its totient is φ = 14270570496.

The previous prime is 67638545509. The next prime is 67638545539. The reversal of 67638545520 is 2554583676.

It is a super-3 number, since 3×67638545520³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1970424 + ... + 2004456.

Almost surely, 2^67638545520 is an apocalyptic number.

67638545520 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 67638545520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132063219288).

67638545520 is an abundant number, since it is smaller than the sum of its proper divisors (196487893056).

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

67638545520 is a wasteful number, since it uses less digits than its factorization.

67638545520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34089 (or 34063 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 67638545520 in words is "sixty-seven billion, six hundred thirty-eight million, five hundred forty-five thousand, five hundred twenty".