6447960288 has 576 divisors, whose sum is σ = 24172162560. Its totient is φ = 1655976960.

The previous prime is 6447960269. The next prime is 6447960341. The reversal of 6447960288 is 8820697446.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72448948 + ... + 72449036.

It is an arithmetic number, because the mean of its divisors is an integer number (41965560).

Almost surely, 2^6447960288 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 6447960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086081280).

6447960288 is an abundant number, since it is smaller than the sum of its proper divisors (17724202272).

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

6447960288 is an equidigital number, since it uses as much as digits as its factorization.

6447960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6447960288 is about 80299.1923247052. The cubic root of 6447960288 is about 1861.2617453486.

The spelling of 6447960288 in words is "six billion, four hundred forty-seven million, nine hundred sixty thousand, two hundred eighty-eight".