6330276144 has 160 divisors (see below), whose sum is σ = 18561312000. Its totient is φ = 2065015296.

The previous prime is 6330276119. The next prime is 6330276157. The reversal of 6330276144 is 4416720336.

It is a happy number.

6330276144 is a `hidden beast` number, since 6 + 3 + 30 + 2 + 7 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6330276099 and 6330276108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7824412 + ... + 7825220.

It is an arithmetic number, because the mean of its divisors is an integer number (116008200).

Almost surely, 2^6330276144 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 6330276144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9280656000).

6330276144 is an abundant number, since it is smaller than the sum of its proper divisors (12231035856).

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

6330276144 is a wasteful number, since it uses less digits than its factorization.

6330276144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6330276144 is about 79563.0325213915. The cubic root of 6330276144 is about 1849.8686192553.

The spelling of 6330276144 in words is "six billion, three hundred thirty million, two hundred seventy-six thousand, one hundred forty-four".