682722069120 has 1536 divisors, whose sum is σ = 3168652032000. Its totient is φ = 136411693056.

The previous prime is 682722069059. The next prime is 682722069149. The reversal of 682722069120 is 21960227286.

It is a super-2 number, since 2×682722069120² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268892811 + ... + 268895349.

It is an arithmetic number, because the mean of its divisors is an integer number (2062924500).

Almost surely, 2^682722069120 is an apocalyptic number.

682722069120 is a gapful number since it is divisible by the number (60) 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 682722069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584326016000).

682722069120 is an abundant number, since it is smaller than the sum of its proper divisors (2485929962880).

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

682722069120 is a wasteful number, since it uses less digits than its factorization.

682722069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 682722069120 in words is "six hundred eighty-two billion, seven hundred twenty-two million, sixty-nine thousand, one hundred twenty".