67025427113040 has 320 divisors, whose sum is σ = 241727858426880. Its totient is φ = 15182767595520.

The previous prime is 67025427112979. The next prime is 67025427113069. The reversal of 67025427113040 is 4031172452076.

It is a junction number, because it is equal to n+sod(n) for n = 67025427112983 and 67025427113001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866247 + ... + 11610393.

It is an arithmetic number, because the mean of its divisors is an integer number (755399557584).

Almost surely, 2^{67025427113040} is an apocalyptic number.

67025427113040 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 67025427113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120863929213440).

67025427113040 is an abundant number, since it is smaller than the sum of its proper divisors (174702431313840).

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

67025427113040 is a wasteful number, since it uses less digits than its factorization.

67025427113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744330 (or 10744324 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 67025427113040 in words is "sixty-seven trillion, twenty-five billion, four hundred twenty-seven million, one hundred thirteen thousand, forty".