1680017680 has 40 divisors (see below), whose sum is σ = 4261137984. Its totient is φ = 610915200.

The previous prime is 1680017657. The next prime is 1680017683. The reversal of 1680017680 is 867100861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1680017680² = 5644918810225164800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1680017683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 953676 + ... + 955435.

Almost surely, 2^1680017680 is an apocalyptic number.

1680017680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680017680 is an abundant number, since it is smaller than the sum of its proper divisors (2581120304).

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

1680017680 is a wasteful number, since it uses less digits than its factorization.

1680017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909135 (or 1909129 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1680017680 is about 40988.0187371871. The cubic root of 1680017680 is about 1188.7885607182.

The spelling of 1680017680 in words is "one billion, six hundred eighty million, seventeen thousand, six hundred eighty".