682118781120 has 1120 divisors, whose sum is σ = 3020094950400. Its totient is φ = 142592679936.

The previous prime is 682118781109. The next prime is 682118781133. The reversal of 682118781120 is 21187811286.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 99970029 + ... + 99976851.

Almost surely, 2^682118781120 is an apocalyptic number.

682118781120 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 682118781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510047475200).

682118781120 is an abundant number, since it is smaller than the sum of its proper divisors (2337976169280).

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

682118781120 is a wasteful number, since it uses less digits than its factorization.

682118781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 682118781120 in words is "six hundred eighty-two billion, one hundred eighteen million, seven hundred eighty-one thousand, one hundred twenty".