1680181776 has 270 divisors, whose sum is σ = 5927207130. Its totient is φ = 442810368.

The previous prime is 1680181751. The next prime is 1680181777. The reversal of 1680181776 is 6771810861.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 180633600 + 1499548176 = 13440^2 + 38724^2 .

It is a super-3 number, since 3×1680181776³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1680181777) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1191760 + ... + 1193168.

It is an arithmetic number, because the mean of its divisors is an integer number (21952619).

Almost surely, 2^1680181776 is an apocalyptic number.

1680181776 is a gapful number since it is divisible by the number (16) 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 1680181776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963603565).

1680181776 is an abundant number, since it is smaller than the sum of its proper divisors (4247025354).

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

1680181776 is a wasteful number, since it uses less digits than its factorization.

1680181776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1680181776 is about 40990.0204440056. The cubic root of 1680181776 is about 1188.8272644967.

The spelling of 1680181776 in words is "one billion, six hundred eighty million, one hundred eighty-one thousand, seven hundred seventy-six".