427689986724 has 432 divisors, whose sum is σ = 1492191844416. Its totient is φ = 101521728000.

The previous prime is 427689986663. The next prime is 427689986753.

427689986724 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25469059 + ... + 25485845.

It is an arithmetic number, because the mean of its divisors is an integer number (3454147788).

Almost surely, 2^427689986724 is an apocalyptic number.

427689986724 is a gapful number since it is divisible by the number (44) 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 427689986724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746095922208).

427689986724 is an abundant number, since it is smaller than the sum of its proper divisors (1064501857692).

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

427689986724 is a wasteful number, since it uses less digits than its factorization.

427689986724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16936 (or 16924 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 427689986724 in words is "four hundred twenty-seven billion, six hundred eighty-nine million, nine hundred eighty-six thousand, seven hundred twenty-four".