427605465600 has 360 divisors, whose sum is σ = 1567623189132. Its totient is φ = 111245721600.

The previous prime is 427605465571. The next prime is 427605465619. The reversal of 427605465600 is 6564506724.

427605465600 is a `hidden beast` number, since 4 + 27 + 60 + 5 + 4 + 6 + 560 + 0 = 666.

427605465600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 140564736 + 427464900864 = 11856^2 + 653808^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4677934 + ... + 4768466.

Almost surely, 2^427605465600 is an apocalyptic number.

427605465600 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 427605465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783811594566).

427605465600 is an abundant number, since it is smaller than the sum of its proper divisors (1140017723532).

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

427605465600 is a wasteful number, since it uses less digits than its factorization.

427605465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90608 (or 90584 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 427605465600 in words is "four hundred twenty-seven billion, six hundred five million, four hundred sixty-five thousand, six hundred".