8144940672 has 192 divisors, whose sum is σ = 26915148000. Its totient is φ = 2338191360.

The previous prime is 8144940659. The next prime is 8144940697. The reversal of 8144940672 is 2760494418.

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

It is a super-3 number, since 3×8144940672³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223854 + ... + 257682.

Almost surely, 2^8144940672 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 8144940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13457574000).

8144940672 is an abundant number, since it is smaller than the sum of its proper divisors (18770207328).

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

8144940672 is a wasteful number, since it uses less digits than its factorization.

8144940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33879 (or 33864 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8144940672 is about 90249.3250501077. The cubic root of 8144940672 is about 2012.0061710395.

The spelling of 8144940672 in words is "eight billion, one hundred forty-four million, nine hundred forty thousand, six hundred seventy-two".