1027621727946 has 128 divisors (see below), whose sum is σ = 2671136870400. Its totient is φ = 289372711680.

The previous prime is 1027621727939. The next prime is 1027621727947. The reversal of 1027621727946 is 6497271267201.

1027621727946 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 621 + 7 + 2 + 7 + 9 + 4 + 6 = 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 = 1027621727892 and 1027621727901.

It is not an unprimeable number, because it can be changed into a prime (1027621727947) 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, 153661 + ... + 1441823.

It is an arithmetic number, because the mean of its divisors is an integer number (20868256800).

Almost surely, 2^{1027621727946} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027621727946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335568435200).

1027621727946 is an abundant number, since it is smaller than the sum of its proper divisors (1643515142454).

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

1027621727946 is a wasteful number, since it uses less digits than its factorization.

1027621727946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288281 (or 1288275 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1027621727946 in words is "one trillion, twenty-seven billion, six hundred twenty-one million, seven hundred twenty-seven thousand, nine hundred forty-six".