1680477705 has 32 divisors (see below), whose sum is σ = 3144758400. Its totient is φ = 849082176.

The previous prime is 1680477697. The next prime is 1680477709. The reversal of 1680477705 is 5077740861.

It is not a de Polignac number, because 1680477705 - 2³ = 1680477697 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1680477709) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 325014 + ... + 330143.

It is an arithmetic number, because the mean of its divisors is an integer number (98273700).

Almost surely, 2^1680477705 is an apocalyptic number.

1680477705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1680477705 is a deficient number, since it is larger than the sum of its proper divisors (1464280695).

1680477705 is a wasteful number, since it uses less digits than its factorization.

1680477705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655190 (or 655184 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1680477705 is about 40993.6300539486. The cubic root of 1680477705 is about 1188.8970561141.

The spelling of 1680477705 in words is "one billion, six hundred eighty million, four hundred seventy-seven thousand, seven hundred five".