1067468662080 has 672 divisors, whose sum is σ = 4066415218944. Its totient is φ = 255649185792.

The previous prime is 1067468662049. The next prime is 1067468662087. The reversal of 1067468662080 is 802668647601.

1067468662080 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 6 + 8 + 6 + 620 + 8 + 0 = 666.

It is a super-2 number, since 2×1067468662080² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067468662087) 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, 615964894 + ... + 615966626.

Almost surely, 2^{1067468662080} is an apocalyptic number.

1067468662080 is a gapful number since it is divisible by the number (10) 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 1067468662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033207609472).

1067468662080 is an abundant number, since it is smaller than the sum of its proper divisors (2998946556864).

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

1067468662080 is a wasteful number, since it uses less digits than its factorization.

1067468662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1067468662080 in words is "one trillion, sixty-seven billion, four hundred sixty-eight million, six hundred sixty-two thousand, eighty".