67425770880 has 384 divisors, whose sum is σ = 253351818720. Its totient is φ = 16424239104.

The previous prime is 67425770879. The next prime is 67425770887. The reversal of 67425770880 is 8807752476.

It is a happy number.

67425770880 is a `hidden beast` number, since 67 + 4 + 2 + 577 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67425770887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7258719 + ... + 7268001.

Almost surely, 2^67425770880 is an apocalyptic number.

67425770880 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 67425770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126675909360).

67425770880 is an abundant number, since it is smaller than the sum of its proper divisors (185926047840).

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

67425770880 is a wasteful number, since it uses less digits than its factorization.

67425770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 67425770880 in words is "sixty-seven billion, four hundred twenty-five million, seven hundred seventy thousand, eight hundred eighty".