67379023434240 has 960 divisors, whose sum is σ = 284247931968000. Its totient is φ = 14398901452800.

The previous prime is 67379023434197. The next prime is 67379023434251. The reversal of 67379023434240 is 4243432097376.

67379023434240 is a `hidden beast` number, since 6 + 7 + 379 + 0 + 23 + 4 + 3 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413924386 + ... + 414087134.

It is an arithmetic number, because the mean of its divisors is an integer number (296091595800).

Almost surely, 2^{67379023434240} is an apocalyptic number.

67379023434240 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 67379023434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142123965984000).

67379023434240 is an abundant number, since it is smaller than the sum of its proper divisors (216868908533760).

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

67379023434240 is a wasteful number, since it uses less digits than its factorization.

67379023434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162953 (or 162934 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 67379023434240 in words is "sixty-seven trillion, three hundred seventy-nine billion, twenty-three million, four hundred thirty-four thousand, two hundred forty".