1027974120768 has 336 divisors, whose sum is σ = 3497211070080. Its totient is φ = 293684216832.

The previous prime is 1027974120763. The next prime is 1027974120791. The reversal of 1027974120768 is 8670214797201.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027974120763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79355380 + ... + 79368332.

It is an arithmetic number, because the mean of its divisors is an integer number (10408366280).

Almost surely, 2^{1027974120768} is an apocalyptic number.

1027974120768 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 1027974120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748605535040).

1027974120768 is an abundant number, since it is smaller than the sum of its proper divisors (2469236949312).

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

1027974120768 is an frugal number, since it uses more digits than its factorization.

1027974120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1027974120768 in words is "one trillion, twenty-seven billion, nine hundred seventy-four million, one hundred twenty thousand, seven hundred sixty-eight".