1772613661728 has 576 divisors, whose sum is σ = 5947144519680. Its totient is φ = 450138083328.

The previous prime is 1772613661727. The next prime is 1772613661757. The reversal of 1772613661728 is 8271663162771.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1772613661727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1231836433 + ... + 1231837871.

It is an arithmetic number, because the mean of its divisors is an integer number (10324903680).

Almost surely, 2^{1772613661728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1772613661728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973572259840).

1772613661728 is an abundant number, since it is smaller than the sum of its proper divisors (4174530857952).

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

1772613661728 is a wasteful number, since it uses less digits than its factorization.

1772613661728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1604 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 57.

The spelling of 1772613661728 in words is "one trillion, seven hundred seventy-two billion, six hundred thirteen million, six hundred sixty-one thousand, seven hundred twenty-eight".