1662216480 has 144 divisors (see below), whose sum is σ = 6006067704. Its totient is φ = 417177600.

The previous prime is 1662216473. The next prime is 1662216481. The reversal of 1662216480 is 846122661.

1662216480 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 2 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1599680016 + 62536464 = 39996^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (1662216481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9471 + ... + 58430.

Almost surely, 2^1662216480 is an apocalyptic number.

1662216480 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 1662216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003033852).

1662216480 is an abundant number, since it is smaller than the sum of its proper divisors (4343851224).

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

1662216480 is a wasteful number, since it uses less digits than its factorization.

1662216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67939 (or 67928 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1662216480 is about 40770.2891821974. The cubic root of 1662216480 is about 1184.5749049399.

The spelling of 1662216480 in words is "one billion, six hundred sixty-two million, two hundred sixteen thousand, four hundred eighty".