67256523407040 has 672 divisors, whose sum is σ = 237749676595200. Its totient is φ = 15975479869440.

The previous prime is 67256523406927. The next prime is 67256523407041. The reversal of 67256523407040 is 4070432565276.

It is not an unprimeable number, because it can be changed into a prime (67256523407041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38235657681 + ... + 38235659439.

It is an arithmetic number, because the mean of its divisors is an integer number (353794161600).

Almost surely, 2^{67256523407040} is an apocalyptic number.

67256523407040 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 67256523407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118874838297600).

67256523407040 is an abundant number, since it is smaller than the sum of its proper divisors (170493153188160).

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

67256523407040 is a wasteful number, since it uses less digits than its factorization.

67256523407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 67256523407040 in words is "sixty-seven trillion, two hundred fifty-six billion, five hundred twenty-three million, four hundred seven thousand, forty".