6658842864960 has 1344 divisors, whose sum is σ = 27731962702080. Its totient is φ = 1444738498560.

The previous prime is 6658842864943. The next prime is 6658842864967. The reversal of 6658842864960 is 694682488566.

It is a happy number.

6658842864960 is a `hidden beast` number, since 6 + 6 + 5 + 88 + 428 + 64 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6658842864967) 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, 5775231744 + ... + 5775232896.

It is an arithmetic number, because the mean of its divisors is an integer number (20633900820).

Almost surely, 2^{6658842864960} is an apocalyptic number.

6658842864960 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 6658842864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865981351040).

6658842864960 is an abundant number, since it is smaller than the sum of its proper divisors (21073119837120).

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

6658842864960 is a wasteful number, since it uses less digits than its factorization.

6658842864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 6658842864960 in words is "six trillion, six hundred fifty-eight billion, eight hundred forty-two million, eight hundred sixty-four thousand, nine hundred sixty".