67988025907200 has 5184 divisors, whose sum is σ = 324148228185600. Its totient is φ = 13897433088000.

The previous prime is 67988025907181. The next prime is 67988025907213. The reversal of 67988025907200 is 270952088976.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 450251827125 + ... + 450251827275.

It is an arithmetic number, because the mean of its divisors is an integer number (62528593400).

Almost surely, 2^{67988025907200} is an apocalyptic number.

67988025907200 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 67988025907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162074114092800).

67988025907200 is an abundant number, since it is smaller than the sum of its proper divisors (256160202278400).

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

67988025907200 is a wasteful number, since it uses less digits than its factorization.

67988025907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 67988025907200 in words is "sixty-seven trillion, nine hundred eighty-eight billion, twenty-five million, nine hundred seven thousand, two hundred".