67982775120 has 400 divisors, whose sum is σ = 255888538752. Its totient is φ = 16628198400.

The previous prime is 67982775109. The next prime is 67982775121. The reversal of 67982775120 is 2157728976.

It is a happy number.

67982775120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67982775121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13728645 + ... + 13733595.

Almost surely, 2^67982775120 is an apocalyptic number.

67982775120 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 67982775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127944269376).

67982775120 is an abundant number, since it is smaller than the sum of its proper divisors (187905763632).

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

67982775120 is a wasteful number, since it uses less digits than its factorization.

67982775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 67982775120 in words is "sixty-seven billion, nine hundred eighty-two million, seven hundred seventy-five thousand, one hundred twenty".