1427424768 has 480 divisors, whose sum is σ = 5362156800. Its totient is φ = 368271360.

The previous prime is 1427424751. The next prime is 1427424797. The reversal of 1427424768 is 8674247241.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9579958 + ... + 9580106.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^1427424768 is an apocalyptic number.

1427424768 is a gapful number since it is divisible by the number (18) 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 1427424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681078400).

1427424768 is an abundant number, since it is smaller than the sum of its proper divisors (3934732032).

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

1427424768 is an equidigital number, since it uses as much as digits as its factorization.

1427424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 1427424768 is about 37781.2753622744. The cubic root of 1427424768 is about 1125.9464675094.

The spelling of 1427424768 in words is "one billion, four hundred twenty-seven million, four hundred twenty-four thousand, seven hundred sixty-eight".