1966270464 has 192 divisors, whose sum is σ = 5909904000. Its totient is φ = 653930496.

The previous prime is 1966270463. The next prime is 1966270469. The reversal of 1966270464 is 4640726691.

1966270464 is a `hidden beast` number, since 19 + 6 + 627 + 0 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1966270463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4478757 + ... + 4479195.

It is an arithmetic number, because the mean of its divisors is an integer number (30780750).

Almost surely, 2^1966270464 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 1966270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954952000).

1966270464 is an abundant number, since it is smaller than the sum of its proper divisors (3943633536).

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

1966270464 is an frugal number, since it uses more digits than its factorization.

1966270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1966270464 is about 44342.6483647515. The cubic root of 1966270464 is about 1252.7980975001.

The spelling of 1966270464 in words is "one billion, nine hundred sixty-six million, two hundred seventy thousand, four hundred sixty-four".