1634644417728 has 224 divisors, whose sum is σ = 5402437890048. Its totient is φ = 425388441600.

The previous prime is 1634644417727. The next prime is 1634644417799. The reversal of 1634644417728 is 8277144464361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1634644417727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445653 + ... + 1862228.

Almost surely, 2^{1634644417728} 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 1634644417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701218945024).

1634644417728 is an abundant number, since it is smaller than the sum of its proper divisors (3767793472320).

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

1634644417728 is a wasteful number, since it uses less digits than its factorization.

1634644417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307951 (or 2307941 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 57.

The spelling of 1634644417728 in words is "one trillion, six hundred thirty-four billion, six hundred forty-four million, four hundred seventeen thousand, seven hundred twenty-eight".