1630220776128 has 448 divisors, whose sum is σ = 5574460702720. Its totient is φ = 457578906624.

The previous prime is 1630220776123. The next prime is 1630220776147. The reversal of 1630220776128 is 8216770220361.

1630220776128 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 2 + 20 + 7 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (1630220776123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158222625 + ... + 158232927.

It is an arithmetic number, because the mean of its divisors is an integer number (12442992640).

Almost surely, 2^{1630220776128} is an apocalyptic number.

1630220776128 is a gapful number since it is divisible by the number (18) 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 1630220776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787230351360).

1630220776128 is an abundant number, since it is smaller than the sum of its proper divisors (3944239926592).

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

1630220776128 is a wasteful number, since it uses less digits than its factorization.

1630220776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10561 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 1630220776128 its reverse (8216770220361), we get a palindrome (9846990996489).

The spelling of 1630220776128 in words is "one trillion, six hundred thirty billion, two hundred twenty million, seven hundred seventy-six thousand, one hundred twenty-eight".