1671002561680 has 40 divisors (see below), whose sum is σ = 3885144694200. Its totient is φ = 668390059008.

The previous prime is 1671002561663. The next prime is 1671002561699. The reversal of 1671002561680 is 861652001761.

It can be written as a sum of positive squares in 4 ways, for example, as 990040920064 + 680961641616 = 995008^2 + 825204^2 .

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

It is a super-2 number, since 2×1671002561680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6213036 + ... + 6476404.

It is an arithmetic number, because the mean of its divisors is an integer number (97128617355).

Almost surely, 2^{1671002561680} is an apocalyptic number.

1671002561680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1671002561680 is an abundant number, since it is smaller than the sum of its proper divisors (2214142132520).

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

1671002561680 is a wasteful number, since it uses less digits than its factorization.

1671002561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342691 (or 342685 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 1671002561680 in words is "one trillion, six hundred seventy-one billion, two million, five hundred sixty-one thousand, six hundred eighty".