6281668961280 has 528 divisors, whose sum is σ = 22370478818688. Its totient is φ = 1628848128000.

The previous prime is 6281668961201. The next prime is 6281668961287. The reversal of 6281668961280 is 821698661826.

6281668961280 is a `hidden beast` number, since 6 + 2 + 8 + 1 + 6 + 6 + 8 + 9 + 612 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6281668961287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587560735 + ... + 587571425.

It is an arithmetic number, because the mean of its divisors is an integer number (42368331096).

Almost surely, 2^{6281668961280} is an apocalyptic number.

6281668961280 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 6281668961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11185239409344).

6281668961280 is an abundant number, since it is smaller than the sum of its proper divisors (16088809857408).

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

6281668961280 is a wasteful number, since it uses less digits than its factorization.

6281668961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 6281668961280 in words is "six trillion, two hundred eighty-one billion, six hundred sixty-eight million, nine hundred sixty-one thousand, two hundred eighty".