1680007680 has 480 divisors, whose sum is σ = 6434588160. Its totient is φ = 402554880.

The previous prime is 1680007663. The next prime is 1680007687. The reversal of 1680007680 is 867000861.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1680007687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21265881 + ... + 21265959.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2^1680007680 is an apocalyptic number.

1680007680 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 1680007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

1680007680 is an abundant number, since it is smaller than the sum of its proper divisors (4754580480).

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

1680007680 is a wasteful number, since it uses less digits than its factorization.

1680007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1680007680 is about 40987.8967501383. The cubic root of 1680007680 is about 1188.7862020308.

The spelling of 1680007680 in words is "one billion, six hundred eighty million, seven thousand, six hundred eighty".