1680164640 has 384 divisors, whose sum is σ = 7333079040. Its totient is φ = 349056000.

The previous prime is 1680164617. The next prime is 1680164683. The reversal of 1680164640 is 464610861.

1680164640 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 1 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1680164595 and 1680164604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330115 + ... + 335165.

It is an arithmetic number, because the mean of its divisors is an integer number (19096560).

Almost surely, 2^1680164640 is an apocalyptic number.

1680164640 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 1680164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666539520).

1680164640 is an abundant number, since it is smaller than the sum of its proper divisors (5652914400).

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

1680164640 is a wasteful number, since it uses less digits than its factorization.

1680164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1680164640 is about 40989.8114169851. The cubic root of 1680164640 is about 1188.8232229076.

The spelling of 1680164640 in words is "one billion, six hundred eighty million, one hundred sixty-four thousand, six hundred forty".