1067921648640 has 3168 divisors, whose sum is σ = 5172258723840. Its totient is φ = 200658124800.

The previous prime is 1067921648623. The next prime is 1067921648683. The reversal of 1067921648640 is 468461297601.

1067921648640 is a `hidden beast` number, since 1 + 0 + 67 + 92 + 16 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×1067921648640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14629063644 + ... + 14629063716.

Almost surely, 2^{1067921648640} is an apocalyptic number.

1067921648640 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 1067921648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586129361920).

1067921648640 is an abundant number, since it is smaller than the sum of its proper divisors (4104337075200).

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

1067921648640 is a wasteful number, since it uses less digits than its factorization.

1067921648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1067921648640 in words is "one trillion, sixty-seven billion, nine hundred twenty-one million, six hundred forty-eight thousand, six hundred forty".