7641024560 has 40 divisors (see below), whose sum is σ = 19131952560. Its totient is φ = 2821300992.

The previous prime is 7641024539. The next prime is 7641024607. The reversal of 7641024560 is 654201467.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 7641024560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3672530 + ... + 3674609.

It is an arithmetic number, because the mean of its divisors is an integer number (478298814).

Almost surely, 2^7641024560 is an apocalyptic number.

It is an amenable number.

7641024560 is an abundant number, since it is smaller than the sum of its proper divisors (11490928000).

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

7641024560 is a wasteful number, since it uses less digits than its factorization.

7641024560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347165 (or 7347159 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 7641024560 is about 87412.9541887242. The cubic root of 7641024560 is about 1969.6264384827.

The spelling of 7641024560 in words is "seven billion, six hundred forty-one million, twenty-four thousand, five hundred sixty".