1662228661680 has 480 divisors, whose sum is σ = 5788935734400. Its totient is φ = 427156193280.

The previous prime is 1662228661669. The next prime is 1662228661727. The reversal of 1662228661680 is 861668222661.

1662228661680 is a `hidden beast` number, since 1 + 6 + 622 + 2 + 8 + 6 + 6 + 1 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852861346 + ... + 852863294.

It is an arithmetic number, because the mean of its divisors is an integer number (12060282780).

Almost surely, 2^{1662228661680} is an apocalyptic number.

1662228661680 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 1662228661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894467867200).

1662228661680 is an abundant number, since it is smaller than the sum of its proper divisors (4126707072720).

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

1662228661680 is a wasteful number, since it uses less digits than its factorization.

1662228661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1662228661680 in words is "one trillion, six hundred sixty-two billion, two hundred twenty-eight million, six hundred sixty-one thousand, six hundred eighty".