1426673664 has 234 divisors, whose sum is σ = 4481869470. Its totient is φ = 437059584.

The previous prime is 1426673657. The next prime is 1426673671. The reversal of 1426673664 is 4663766241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1426673657) and next prime (1426673671).

It can be written as a sum of positive squares in 3 ways, for example, as 95883264 + 1330790400 = 9792^2 + 36480^2 .

It is a tau number, because it is divible by the number of its divisors (234).

It is a super-3 number, since 3×1426673664³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6229902 + ... + 6230130.

Almost surely, 2^1426673664 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 1426673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240934735).

1426673664 is an abundant number, since it is smaller than the sum of its proper divisors (3055195806).

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

1426673664 is a wasteful number, since it uses less digits than its factorization.

1426673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 247 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 1426673664 is about 37771.3338922522. Note that the first 3 decimals coincide. The cubic root of 1426673664 is about 1125.7489436672.

The spelling of 1426673664 in words is "one billion, four hundred twenty-six million, six hundred seventy-three thousand, six hundred sixty-four".