1644127152 has 80 divisors (see below), whose sum is σ = 4484415360. Its totient is φ = 517625856.

The previous prime is 1644127139. The next prime is 1644127169. The reversal of 1644127152 is 2517214461.

It is a super-3 number, since 3×1644127152³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319383 + ... + 324489.

It is an arithmetic number, because the mean of its divisors is an integer number (56055192).

Almost surely, 2^1644127152 is an apocalyptic number.

1644127152 is a gapful number since it is divisible by the number (12) 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 1644127152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242207680).

1644127152 is an abundant number, since it is smaller than the sum of its proper divisors (2840288208).

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

1644127152 is a wasteful number, since it uses less digits than its factorization.

1644127152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5484 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 1644127152 is about 40547.8378215165. The cubic root of 1644127152 is about 1180.2621154764.

The spelling of 1644127152 in words is "one billion, six hundred forty-four million, one hundred twenty-seven thousand, one hundred fifty-two".