427216056960 has 768 divisors, whose sum is σ = 1760916412800. Its totient is φ = 87086039040.

The previous prime is 427216056941. The next prime is 427216056961. The reversal of 427216056960 is 69650612724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (427216056961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54844746 + ... + 54852534.

Almost surely, 2^427216056960 is an apocalyptic number.

427216056960 is a gapful number since it is divisible by the number (40) 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 427216056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880458206400).

427216056960 is an abundant number, since it is smaller than the sum of its proper divisors (1333700355840).

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

427216056960 is a wasteful number, since it uses less digits than its factorization.

427216056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 427216056960 in words is "four hundred twenty-seven billion, two hundred sixteen million, fifty-six thousand, nine hundred sixty".