7941508738560 has 480 divisors, whose sum is σ = 29060610939360. Its totient is φ = 2077769760768.

The previous prime is 7941508738549. The next prime is 7941508738619. The reversal of 7941508738560 is 658378051497.

7941508738560 is a `hidden beast` number, since 7 + 9 + 4 + 1 + 508 + 73 + 8 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7941508738560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32849806 + ... + 33090674.

It is an arithmetic number, because the mean of its divisors is an integer number (60542939457).

Almost surely, 2^{7941508738560} 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 7941508738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530305469680).

7941508738560 is an abundant number, since it is smaller than the sum of its proper divisors (21119102200800).

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

7941508738560 is an equidigital number, since it uses as much as digits as its factorization.

7941508738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240960 (or 240932 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 7941508738560 in words is "seven trillion, nine hundred forty-one billion, five hundred eight million, seven hundred thirty-eight thousand, five hundred sixty".