67376800144 has 80 divisors (see below), whose sum is σ = 142685064000. Its totient is φ = 30699164160.

The previous prime is 67376800109. The next prime is 67376800151. The reversal of 67376800144 is 44100867376.

It is a junction number, because it is equal to n+sod(n) for n = 67376800094 and 67376800103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2357299 + ... + 2385709.

It is an arithmetic number, because the mean of its divisors is an integer number (1783563300).

Almost surely, 2^67376800144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67376800144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71342532000).

67376800144 is an abundant number, since it is smaller than the sum of its proper divisors (75308263856).

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

67376800144 is a wasteful number, since it uses less digits than its factorization.

67376800144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28736 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

It can be divided in two parts, 6737 and 6800144, that added together give a square (6806881 = 2609²).

The spelling of 67376800144 in words is "sixty-seven billion, three hundred seventy-six million, eight hundred thousand, one hundred forty-four".