1661304677760 has 1024 divisors, whose sum is σ = 7258096742400. Its totient is φ = 349718446080.

The previous prime is 1661304677759. The next prime is 1661304677779. The reversal of 1661304677760 is 677764031661.

1661304677760 is a `hidden beast` number, since 16 + 613 + 0 + 4 + 6 + 7 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1661304677697 and 1661304677706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 907320045 + ... + 907321875.

It is an arithmetic number, because the mean of its divisors is an integer number (7087985100).

Almost surely, 2^{1661304677760} is an apocalyptic number.

1661304677760 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 1661304677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629048371200).

1661304677760 is an abundant number, since it is smaller than the sum of its proper divisors (5596792064640).

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

1661304677760 is a wasteful number, since it uses less digits than its factorization.

1661304677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 1661304677760 in words is "one trillion, six hundred sixty-one billion, three hundred four million, six hundred seventy-seven thousand, seven hundred sixty".