6651516960 has 768 divisors, whose sum is σ = 27433728000. Its totient is φ = 1488015360.

The previous prime is 6651516929. The next prime is 6651517007. The reversal of 6651516960 is 696151566.

6651516960 is a `hidden beast` number, since 66 + 515 + 16 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47852571 + ... + 47852709.

It is an arithmetic number, because the mean of its divisors is an integer number (35721000).

Almost surely, 2^6651516960 is an apocalyptic number.

6651516960 is a gapful number since it is divisible by the number (60) 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 6651516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864000).

6651516960 is an abundant number, since it is smaller than the sum of its proper divisors (20782211040).

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

6651516960 is a wasteful number, since it uses less digits than its factorization.

6651516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 6651516960 is about 81556.8326996580. The cubic root of 6651516960 is about 1880.6453345137.

The spelling of 6651516960 in words is "six billion, six hundred fifty-one million, five hundred sixteen thousand, nine hundred sixty".