7560641106648 has 384 divisors, whose sum is σ = 24631030195200. Its totient is φ = 2048393318400.

The previous prime is 7560641106589. The next prime is 7560641106673. The reversal of 7560641106648 is 8466011460657.

7560641106648 is a `hidden beast` number, since 7 + 560 + 6 + 4 + 1 + 10 + 6 + 64 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7560641106594 and 7560641106603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2006005308 + ... + 2006009076.

It is an arithmetic number, because the mean of its divisors is an integer number (64143307800).

Almost surely, 2^{7560641106648} 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 7560641106648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315515097600).

7560641106648 is an abundant number, since it is smaller than the sum of its proper divisors (17070389088552).

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

7560641106648 is a wasteful number, since it uses less digits than its factorization.

7560641106648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 7560641106648 in words is "seven trillion, five hundred sixty billion, six hundred forty-one million, one hundred six thousand, six hundred forty-eight".