1947973065792 has 448 divisors, whose sum is σ = 5797514870784. Its totient is φ = 573206446080.

The previous prime is 1947973065767. The next prime is 1947973065809. The reversal of 1947973065792 is 2975603797491.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3010777213 + ... + 3010777859.

It is an arithmetic number, because the mean of its divisors is an integer number (12940881408).

Almost surely, 2^{1947973065792} is an apocalyptic number.

1947973065792 is a gapful number since it is divisible by the number (12) 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 1947973065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898757435392).

1947973065792 is an abundant number, since it is smaller than the sum of its proper divisors (3849541804992).

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

1947973065792 is a wasteful number, since it uses less digits than its factorization.

1947973065792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 69.

The spelling of 1947973065792 in words is "one trillion, nine hundred forty-seven billion, nine hundred seventy-three million, sixty-five thousand, seven hundred ninety-two".