427642060800 has 228 divisors, whose sum is σ = 1414132062176. Its totient is φ = 114032640000.

The previous prime is 427642060793. The next prime is 427642060829. The reversal of 427642060800 is 8060246724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19649925 + ... + 19671675.

Almost surely, 2^427642060800 is an apocalyptic number.

427642060800 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 427642060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707066031088).

427642060800 is an abundant number, since it is smaller than the sum of its proper divisors (986490001376).

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

427642060800 is an frugal number, since it uses more digits than its factorization.

427642060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21800 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 427642060800 in words is "four hundred twenty-seven billion, six hundred forty-two million, sixty thousand, eight hundred".