1067386426848 has 672 divisors, whose sum is σ = 3921327244800. Its totient is φ = 278930469888.

The previous prime is 1067386426831. The next prime is 1067386426861. The reversal of 1067386426848 is 8486246837601.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1067386426848² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89970165 + ... + 89982027.

It is an arithmetic number, because the mean of its divisors is an integer number (5835308400).

Almost surely, 2^{1067386426848} is an apocalyptic number.

1067386426848 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 1067386426848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960663622400).

1067386426848 is an abundant number, since it is smaller than the sum of its proper divisors (2853940817952).

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

1067386426848 is a wasteful number, since it uses less digits than its factorization.

1067386426848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946 (or 11923 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 1067386426848 in words is "one trillion, sixty-seven billion, three hundred eighty-six million, four hundred twenty-six thousand, eight hundred forty-eight".