6427698600960 has 2112 divisors, whose sum is σ = 28552633933824. Its totient is φ = 1300561920000.

The previous prime is 6427698600931. The next prime is 6427698601021. The reversal of 6427698600960 is 690068967246.

6427698600960 is a `hidden beast` number, since 6 + 427 + 6 + 98 + 60 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25608360835 + ... + 25608361085.

It is an arithmetic number, because the mean of its divisors is an integer number (13519239552).

Almost surely, 2^{6427698600960} is an apocalyptic number.

6427698600960 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 6427698600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276316966912).

6427698600960 is an abundant number, since it is smaller than the sum of its proper divisors (22124935332864).

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

6427698600960 is a wasteful number, since it uses less digits than its factorization.

6427698600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 6427698600960 in words is "six trillion, four hundred twenty-seven billion, six hundred ninety-eight million, six hundred thousand, nine hundred sixty".