1067603328000 has 2640 divisors, whose sum is σ = 4686777006912. Its totient is φ = 240869376000.

The previous prime is 1067603327993. The next prime is 1067603328013. The reversal of 1067603328000 is 8233067601.

It is a happy number.

1067603328000 is a `hidden beast` number, since 10 + 6 + 7 + 603 + 32 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×1067603328000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28854143982 + ... + 28854144018.

Almost surely, 2^{1067603328000} is an apocalyptic number.

1067603328000 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 1067603328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343388503456).

1067603328000 is an abundant number, since it is smaller than the sum of its proper divisors (3619173678912).

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

1067603328000 is a wasteful number, since it uses less digits than its factorization.

1067603328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1067603328000 in words is "one trillion, sixty-seven billion, six hundred three million, three hundred twenty-eight thousand".