682001400360 has 512 divisors, whose sum is σ = 2435262382080. Its totient is φ = 149556326400.

The previous prime is 682001400349. The next prime is 682001400383. The reversal of 682001400360 is 63004100286.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777652242 + ... + 777653118.

It is an arithmetic number, because the mean of its divisors is an integer number (4756371840).

Almost surely, 2^682001400360 is an apocalyptic number.

682001400360 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 682001400360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217631191040).

682001400360 is an abundant number, since it is smaller than the sum of its proper divisors (1753260981720).

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

682001400360 is a wasteful number, since it uses less digits than its factorization.

682001400360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 682001400360 in words is "six hundred eighty-two billion, one million, four hundred thousand, three hundred sixty".