1661760000 has 300 divisors, whose sum is σ = 6003407982. Its totient is φ = 442368000.

The previous prime is 1661759999. The next prime is 1661760011. The reversal of 1661760000 is 671661.

It can be written as a sum of positive squares in 5 ways, for example, as 327465216 + 1334294784 = 18096^2 + 36528^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1661760000² = 5522892595200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879712 + ... + 2880288.

Almost surely, 2^1661760000 is an apocalyptic number.

1661760000 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 1661760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001703991).

1661760000 is an abundant number, since it is smaller than the sum of its proper divisors (4341647982).

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

1661760000 is an frugal number, since it uses more digits than its factorization.

1661760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1661760000 is about 40764.6906035113. The cubic root of 1661760000 is about 1184.4664585240.

The spelling of 1661760000 in words is "one billion, six hundred sixty-one million, seven hundred sixty thousand".