67982677628976 has 240 divisors, whose sum is σ = 213422509111968. Its totient is φ = 20019604377600.

The previous prime is 67982677628933. The next prime is 67982677628993.

It is a happy number.

67982677628976 is a `hidden beast` number, since 67 + 9 + 8 + 267 + 7 + 6 + 289 + 7 + 6 = 666.

67982677628976 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×67982677628976² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47410740 + ... + 48823596.

Almost surely, 2^{67982677628976} is an apocalyptic number.

67982677628976 is a gapful number since it is divisible by the number (66) 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 67982677628976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106711254555984).

67982677628976 is an abundant number, since it is smaller than the sum of its proper divisors (145439831482992).

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

67982677628976 is a wasteful number, since it uses less digits than its factorization.

67982677628976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413740 (or 1413731 counting only the distinct ones).

The product of its digits is 64524128256, while the sum is 90.

The spelling of 67982677628976 in words is "sixty-seven trillion, nine hundred eighty-two billion, six hundred seventy-seven million, six hundred twenty-eight thousand, nine hundred seventy-six".