6651882768960 has 1344 divisors, whose sum is σ = 27898332295680. Its totient is φ = 1482076569600.

The previous prime is 6651882768887. The next prime is 6651882768961. The reversal of 6651882768960 is 698672881566.

It is a happy number.

6651882768960 is a `hidden beast` number, since 6 + 6 + 518 + 8 + 27 + 6 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6651882768961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3574358430 + ... + 3574360290.

It is an arithmetic number, because the mean of its divisors is an integer number (20757687720).

Almost surely, 2^{6651882768960} is an apocalyptic number.

6651882768960 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 6651882768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949166147840).

6651882768960 is an abundant number, since it is smaller than the sum of its proper divisors (21246449526720).

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

6651882768960 is a wasteful number, since it uses less digits than its factorization.

6651882768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 6651882768960 in words is "six trillion, six hundred fifty-one billion, eight hundred eighty-two million, seven hundred sixty-eight thousand, nine hundred sixty".