427720817088 has 672 divisors, whose sum is σ = 1433540358720. Its totient is φ = 124561981440.

The previous prime is 427720817087. The next prime is 427720817101. The reversal of 427720817088 is 880718027724.

427720817088 is a `hidden beast` number, since 427 + 7 + 208 + 1 + 7 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427720817081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562050628 + ... + 562051388.

Almost surely, 2^427720817088 is an apocalyptic number.

427720817088 is a gapful number since it is divisible by the number (48) 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 427720817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716770179360).

427720817088 is an abundant number, since it is smaller than the sum of its proper divisors (1005819541632).

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

427720817088 is a wasteful number, since it uses less digits than its factorization.

427720817088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 427720817088 in words is "four hundred twenty-seven billion, seven hundred twenty million, eight hundred seventeen thousand, eighty-eight".