1427825664 has 176 divisors, whose sum is σ = 4330469440. Its totient is φ = 464486400.

The previous prime is 1427825647. The next prime is 1427825669. The reversal of 1427825664 is 4665287241.

1427825664 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 82 + 566 + 4 = 666.

It is a super-2 number, since 2×1427825664² = 4077372253554081792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1427825669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188264 + ... + 1189464.

It is an arithmetic number, because the mean of its divisors is an integer number (24604940).

Almost surely, 2^1427825664 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 1427825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165234720).

1427825664 is an abundant number, since it is smaller than the sum of its proper divisors (2902643776).

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

1427825664 is a wasteful number, since it uses less digits than its factorization.

1427825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1249 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 1427825664 is about 37786.5804750840. The cubic root of 1427825664 is about 1126.0518659850.

The spelling of 1427825664 in words is "one billion, four hundred twenty-seven million, eight hundred twenty-five thousand, six hundred sixty-four".