682170711610960 has 320 divisors, whose sum is σ = 1925001452021760. Its totient is φ = 221413469184000.

The previous prime is 682170711610873. The next prime is 682170711610961. The reversal of 682170711610960 is 69016117071286.

682170711610960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×682170711610960³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682170711610961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435069990 + ... + 436635130.

It is an arithmetic number, because the mean of its divisors is an integer number (6015629537568).

Almost surely, 2^{682170711610960} 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 682170711610960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962500726010880).

682170711610960 is an abundant number, since it is smaller than the sum of its proper divisors (1242830740410800).

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

682170711610960 is a wasteful number, since it uses less digits than its factorization.

682170711610960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566438 (or 1566432 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 682170711610960 in words is "six hundred eighty-two trillion, one hundred seventy billion, seven hundred eleven million, six hundred ten thousand, nine hundred sixty".