682144109010 has 320 divisors, whose sum is σ = 2259821152512. Its totient is φ = 143776249344.

The previous prime is 682144108963. The next prime is 682144109021. The reversal of 682144109010 is 10901441286.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80560797 + ... + 80569263.

Almost surely, 2^682144109010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682144109010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129910576256).

682144109010 is an abundant number, since it is smaller than the sum of its proper divisors (1577677043502).

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

682144109010 is a wasteful number, since it uses less digits than its factorization.

682144109010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 682144109010 in words is "six hundred eighty-two billion, one hundred forty-four million, one hundred nine thousand, ten".