7941005059680 has 1152 divisors, whose sum is σ = 35725135380480. Its totient is φ = 1556130631680.

The previous prime is 7941005059649. The next prime is 7941005059681. The reversal of 7941005059680 is 869505001497.

7941005059680 is a `hidden beast` number, since 7 + 9 + 41 + 0 + 0 + 5 + 0 + 596 + 8 + 0 = 666.

It is a super-2 number, since 2×7941005059680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7941005059681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 469790109 + ... + 469807011.

It is an arithmetic number, because the mean of its divisors is an integer number (31011402240).

Almost surely, 2^{7941005059680} is an apocalyptic number.

7941005059680 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 7941005059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862567690240).

7941005059680 is an abundant number, since it is smaller than the sum of its proper divisors (27784130320800).

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

7941005059680 is a wasteful number, since it uses less digits than its factorization.

7941005059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17184 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 7941005059680 in words is "seven trillion, nine hundred forty-one billion, five million, fifty-nine thousand, six hundred eighty".