67944381120 has 1120 divisors, whose sum is σ = 306966274560. Its totient is φ = 13854965760.

The previous prime is 67944381073. The next prime is 67944381133. The reversal of 67944381120 is 2118344976.

67944381120 is a `hidden beast` number, since 6 + 7 + 9 + 443 + 81 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117754272 + ... + 117754848.

Almost surely, 2^67944381120 is an apocalyptic number.

67944381120 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 67944381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153483137280).

67944381120 is an abundant number, since it is smaller than the sum of its proper divisors (239021893440).

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

67944381120 is a wasteful number, since it uses less digits than its factorization.

67944381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 67944381120 in words is "sixty-seven billion, nine hundred forty-four million, three hundred eighty-one thousand, one hundred twenty".