682260480000 has 900 divisors, whose sum is σ = 2690742942888. Its totient is φ = 165150720000.

The previous prime is 682260479983. The next prime is 682260480001. The reversal of 682260480000 is 84062286.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (682260480001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1013759664 + ... + 1013760336.

Almost surely, 2^682260480000 is an apocalyptic number.

682260480000 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 682260480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345371471444).

682260480000 is an abundant number, since it is smaller than the sum of its proper divisors (2008482462888).

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

682260480000 is an equidigital number, since it uses as much as digits as its factorization.

682260480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 682260480000 in words is "six hundred eighty-two billion, two hundred sixty million, four hundred eighty thousand".