1947006720000 has 1200 divisors, whose sum is σ = 7383608832600. Its totient is φ = 510935040000.

The previous prime is 1947006719947. The next prime is 1947006720077. The reversal of 1947006720000 is 276007491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 9227519895 + ... + 9227520105.

Almost surely, 2^{1947006720000} is an apocalyptic number.

1947006720000 is a gapful number since it is divisible by the number (10) 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 1947006720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691804416300).

1947006720000 is an abundant number, since it is smaller than the sum of its proper divisors (5436602112600).

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

1947006720000 is an frugal number, since it uses more digits than its factorization.

1947006720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1947006720000 in words is "one trillion, nine hundred forty-seven billion, six million, seven hundred twenty thousand".