427670567200 has 144 divisors (see below), whose sum is σ = 1051717685760. Its totient is φ = 169814865920.

The previous prime is 427670567171. The next prime is 427670567221. The reversal of 427670567200 is 2765076724.

It is a super-2 number, since 2×427670567200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127319121 + ... + 127322479.

It is an arithmetic number, because the mean of its divisors is an integer number (7303595040).

Almost surely, 2^427670567200 is an apocalyptic number.

427670567200 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 427670567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525858842880).

427670567200 is an abundant number, since it is smaller than the sum of its proper divisors (624047118560).

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

427670567200 is a wasteful number, since it uses less digits than its factorization.

427670567200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 427670567200 in words is "four hundred twenty-seven billion, six hundred seventy million, five hundred sixty-seven thousand, two hundred".