1683872640 has 192 divisors, whose sum is σ = 5840817840. Its totient is φ = 447012864.

The previous prime is 1683872639. The next prime is 1683872651. The reversal of 1683872640 is 462783861.

1683872640 is a `hidden beast` number, since 1 + 6 + 8 + 387 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629564 + ... + 1630596.

Almost surely, 2^1683872640 is an apocalyptic number.

1683872640 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 1683872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920408920).

1683872640 is an abundant number, since it is smaller than the sum of its proper divisors (4156945200).

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

1683872640 is a wasteful number, since it uses less digits than its factorization.

1683872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1683872640 is about 41035.0172413757. The cubic root of 1683872640 is about 1189.6971288629.

The spelling of 1683872640 in words is "one billion, six hundred eighty-three million, eight hundred seventy-two thousand, six hundred forty".