1067849779968 has 432 divisors, whose sum is σ = 3248861930496. Its totient is φ = 336938434560.

The previous prime is 1067849779811. The next prime is 1067849779973. The reversal of 1067849779968 is 8699779487601.

1067849779968 is a `hidden beast` number, since 1 + 0 + 67 + 8 + 497 + 7 + 9 + 9 + 68 = 666.

It is a super-2 number, since 2×1067849779968² (a number of 25 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, 573803358 + ... + 573805218.

It is an arithmetic number, because the mean of its divisors is an integer number (7520513728).

Almost surely, 2^{1067849779968} is an apocalyptic number.

1067849779968 is a gapful number since it is divisible by the number (18) 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 1067849779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624430965248).

1067849779968 is an abundant number, since it is smaller than the sum of its proper divisors (2181012150528).

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

1067849779968 is a wasteful number, since it uses less digits than its factorization.

1067849779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 2304433152, while the sum is 81.

The spelling of 1067849779968 in words is "one trillion, sixty-seven billion, eight hundred forty-nine million, seven hundred seventy-nine thousand, nine hundred sixty-eight".