1066464000 has 648 divisors, whose sum is σ = 4584626592. Its totient is φ = 233164800.

The previous prime is 1066463989. The next prime is 1066464011. The reversal of 1066464000 is 4646601.

1066464000 is a `hidden beast` number, since 10 + 6 + 6 + 4 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1066463989) and next prime (1066464011).

It is a super-2 number, since 2×1066464000² = 2274690926592000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46367989 + ... + 46368011.

Almost surely, 2^1066464000 is an apocalyptic number.

1066464000 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 1066464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292313296).

1066464000 is an abundant number, since it is smaller than the sum of its proper divisors (3518162592).

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

1066464000 is an equidigital number, since it uses as much as digits as its factorization.

1066464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1066464000 is about 32656.7604027099. The cubic root of 1066464000 is about 1021.6811951850.

The spelling of 1066464000 in words is "one billion, sixty-six million, four hundred sixty-four thousand".