427789632816 has 1440 divisors, whose sum is σ = 1668131232768. Its totient is φ = 99492986880.

The previous prime is 427789632811. The next prime is 427789632839. The reversal of 427789632816 is 618236987724.

427789632816 is a `hidden beast` number, since 4 + 277 + 89 + 6 + 3 + 281 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (427789632811) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6025206061 + ... + 6025206131.

Almost surely, 2^427789632816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427789632816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834065616384).

427789632816 is an abundant number, since it is smaller than the sum of its proper divisors (1240341599952).

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

427789632816 is a wasteful number, since it uses less digits than its factorization.

427789632816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 427789632816 in words is "four hundred twenty-seven billion, seven hundred eighty-nine million, six hundred thirty-two thousand, eight hundred sixteen".