1766673040 has 160 divisors (see below), whose sum is σ = 4763266560. Its totient is φ = 603187200.

The previous prime is 1766673023. The next prime is 1766673053. The reversal of 1766673040 is 403766671.

It is a super-2 number, since 2×1766673040² = 6242267260525683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1766672984 and 1766673002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943305 + ... + 945175.

It is an arithmetic number, because the mean of its divisors is an integer number (29770416).

Almost surely, 2^1766673040 is an apocalyptic number.

1766673040 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 1766673040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381633280).

1766673040 is an abundant number, since it is smaller than the sum of its proper divisors (2996593520).

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

1766673040 is a wasteful number, since it uses less digits than its factorization.

1766673040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 1766673040 is about 42031.8098587249. The cubic root of 1766673040 is about 1208.8861274497.

The spelling of 1766673040 in words is "one billion, seven hundred sixty-six million, six hundred seventy-three thousand, forty".