6426947890080 has 1920 divisors, whose sum is σ = 26130955124736. Its totient is φ = 1478062080000.

The previous prime is 6426947890043. The next prime is 6426947890091. The reversal of 6426947890080 is 800987496246.

6426947890080 is a `hidden beast` number, since 6 + 426 + 9 + 47 + 8 + 90 + 0 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 25605369955 + ... + 25605370205.

Almost surely, 2^{6426947890080} is an apocalyptic number.

6426947890080 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 6426947890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065477562368).

6426947890080 is an abundant number, since it is smaller than the sum of its proper divisors (19704007234656).

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

6426947890080 is a wasteful number, since it uses less digits than its factorization.

6426947890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 6426947890080 in words is "six trillion, four hundred twenty-six billion, nine hundred forty-seven million, eight hundred ninety thousand, eighty".