7947613470720 has 1536 divisors, whose sum is σ = 32661972921600. Its totient is φ = 1631689113600.

The previous prime is 7947613470703. The next prime is 7947613470721. The reversal of 7947613470720 is 270743167497.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7947613470721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34705735566 + ... + 34705735794.

Almost surely, 2^{7947613470720} is an apocalyptic number.

7947613470720 is a gapful number since it is divisible by the number (70) 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 7947613470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330986460800).

7947613470720 is an abundant number, since it is smaller than the sum of its proper divisors (24714359450880).

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

7947613470720 is a wasteful number, since it uses less digits than its factorization.

7947613470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 57.

The spelling of 7947613470720 in words is "seven trillion, nine hundred forty-seven billion, six hundred thirteen million, four hundred seventy thousand, seven hundred twenty".