427816804800 has 2016 divisors, whose sum is σ = 1926484839936. Its totient is φ = 81887232000.

The previous prime is 427816804787. The next prime is 427816804819. The reversal of 427816804800 is 8408618724.

427816804800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 427816804800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3122750332 + ... + 3122750468.

Almost surely, 2^427816804800 is an apocalyptic number.

427816804800 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 427816804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963242419968).

427816804800 is an abundant number, since it is smaller than the sum of its proper divisors (1498668035136).

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

427816804800 is a wasteful number, since it uses less digits than its factorization.

427816804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 427816804800 in words is "four hundred twenty-seven billion, eight hundred sixteen million, eight hundred four thousand, eight hundred".