7641905679360 has 704 divisors, whose sum is σ = 27612922982400. Its totient is φ = 2028976128000.

The previous prime is 7641905679337. The next prime is 7641905679367. The reversal of 7641905679360 is 639765091467.

7641905679360 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 9 + 0 + 567 + 9 + 3 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (7641905679367) 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 63 ways as a sum of consecutive naturals, for example, 2810556081 + ... + 2810558799.

Almost surely, 2^{7641905679360} 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 7641905679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806461491200).

7641905679360 is an abundant number, since it is smaller than the sum of its proper divisors (19971017303040).

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

7641905679360 is an equidigital number, since it uses as much as digits as its factorization.

7641905679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 7641905679360 in words is "seven trillion, six hundred forty-one billion, nine hundred five million, six hundred seventy-nine thousand, three hundred sixty".