1067471080704 has 864 divisors, whose sum is σ = 3906224300160. Its totient is φ = 285714874368.

The previous prime is 1067471080667. The next prime is 1067471080717. The reversal of 1067471080704 is 4070801747601.

1067471080704 is a `hidden beast` number, since 106 + 7 + 471 + 0 + 8 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1067471080704² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1067471080704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2285805079 + ... + 2285805545.

It is an arithmetic number, because the mean of its divisors is an integer number (4521092940).

Almost surely, 2^{1067471080704} is an apocalyptic number.

1067471080704 is a gapful number since it is divisible by the number (14) 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 1067471080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953112150080).

1067471080704 is an abundant number, since it is smaller than the sum of its proper divisors (2838753219456).

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

1067471080704 is a wasteful number, since it uses less digits than its factorization.

1067471080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1067471080704 in words is "one trillion, sixty-seven billion, four hundred seventy-one million, eighty thousand, seven hundred four".