1067070312864 has 144 divisors (see below), whose sum is σ = 3058987171968. Its totient is φ = 352826482176.

The previous prime is 1067070312851. The next prime is 1067070312877. The reversal of 1067070312864 is 4682130707601.

It is an interprime number because it is at equal distance from previous prime (1067070312851) and next prime (1067070312877).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1067070312864² (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 23 ways as a sum of consecutive naturals, for example, 23399974 + ... + 23445530.

It is an arithmetic number, because the mean of its divisors is an integer number (21242966472).

Almost surely, 2^{1067070312864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067070312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529493585984).

1067070312864 is an abundant number, since it is smaller than the sum of its proper divisors (1991916859104).

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

1067070312864 is a wasteful number, since it uses less digits than its factorization.

1067070312864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46227 (or 46216 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1067070312864 in words is "one trillion, sixty-seven billion, seventy million, three hundred twelve thousand, eight hundred sixty-four".