427865726700 has 216 divisors, whose sum is σ = 1373838735360. Its totient is φ = 111328905600.

The previous prime is 427865726693. The next prime is 427865726713. The reversal of 427865726700 is 7627568724.

427865726700 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 6 + 572 + 67 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13986021 + ... + 14016579.

Almost surely, 2^427865726700 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 427865726700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686919367680).

427865726700 is an abundant number, since it is smaller than the sum of its proper divisors (945973008660).

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

427865726700 is a wasteful number, since it uses less digits than its factorization.

427865726700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30957 (or 30947 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 427865726700 in words is "four hundred twenty-seven billion, eight hundred sixty-five million, seven hundred twenty-six thousand, seven hundred".