682728733104 has 480 divisors, whose sum is σ = 2168236224000. Its totient is φ = 183827128320.

The previous prime is 682728733091. The next prime is 682728733109. The reversal of 682728733104 is 401337827286.

It is a super-2 number, since 2×682728733104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (682728733109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823556562 + ... + 823557390.

It is an arithmetic number, because the mean of its divisors is an integer number (4517158800).

Almost surely, 2^682728733104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682728733104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084118112000).

682728733104 is an abundant number, since it is smaller than the sum of its proper divisors (1485507490896).

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

682728733104 is a wasteful number, since it uses less digits than its factorization.

682728733104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 682728733104 in words is "six hundred eighty-two billion, seven hundred twenty-eight million, seven hundred thirty-three thousand, one hundred four".