427732390800 has 720 divisors, whose sum is σ = 1808497873728. Its totient is φ = 95713228800.

The previous prime is 427732390777. The next prime is 427732390837. The reversal of 427732390800 is 8093237724.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13884214 + ... + 13914986.

Almost surely, 2^427732390800 is an apocalyptic number.

427732390800 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 427732390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904248936864).

427732390800 is an abundant number, since it is smaller than the sum of its proper divisors (1380765482928).

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

427732390800 is a wasteful number, since it uses less digits than its factorization.

427732390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30830 (or 30807 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 427732390800 in words is "four hundred twenty-seven billion, seven hundred thirty-two million, three hundred ninety thousand, eight hundred".