7947702342272 has 768 divisors, whose sum is σ = 21235995002880. Its totient is φ = 2895298560000.

The previous prime is 7947702342271. The next prime is 7947702342317. The reversal of 7947702342272 is 2722432077497.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (7947702342271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18878152622 + ... + 18878153042.

It is an arithmetic number, because the mean of its divisors is an integer number (27651035160).

Almost surely, 2^{7947702342272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7947702342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617997501440).

7947702342272 is an abundant number, since it is smaller than the sum of its proper divisors (13288292660608).

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

7947702342272 is a wasteful number, since it uses less digits than its factorization.

7947702342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 56.

The spelling of 7947702342272 in words is "seven trillion, nine hundred forty-seven billion, seven hundred two million, three hundred forty-two thousand, two hundred seventy-two".