1682640000 has 640 divisors, whose sum is σ = 6691608000. Its totient is φ = 414720000.

The previous prime is 1682639971. The next prime is 1682640007. The reversal of 1682640000 is 462861.

1682640000 is a `hidden beast` number, since 16 + 8 + 2 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682640007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41039980 + ... + 41040020.

Almost surely, 2^1682640000 is an apocalyptic number.

1682640000 is a gapful number since it is divisible by the number (10) 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 1682640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345804000).

1682640000 is an abundant number, since it is smaller than the sum of its proper divisors (5008968000).

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

1682640000 is an equidigital number, since it uses as much as digits as its factorization.

1682640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1682640000 is about 41019.9951243293. The cubic root of 1682640000 is about 1189.4067612482.

The spelling of 1682640000 in words is "one billion, six hundred eighty-two million, six hundred forty thousand".