7641214982280 has 768 divisors, whose sum is σ = 29288282849280. Its totient is φ = 1708439040000.

The previous prime is 7641214982243. The next prime is 7641214982281. The reversal of 7641214982280 is 822894121467.

7641214982280 is a `hidden beast` number, since 7 + 6 + 4 + 121 + 498 + 2 + 28 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (7641214982281) 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 191 ways as a sum of consecutive naturals, for example, 793393065 + ... + 793402695.

It is an arithmetic number, because the mean of its divisors is an integer number (38135784960).

Almost surely, 2^{7641214982280} 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 7641214982280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644141424640).

7641214982280 is an abundant number, since it is smaller than the sum of its proper divisors (21647067867000).

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

7641214982280 is a wasteful number, since it uses less digits than its factorization.

7641214982280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 7641214982280 in words is "seven trillion, six hundred forty-one billion, two hundred fourteen million, nine hundred eighty-two thousand, two hundred eighty".