7952578560 has 144 divisors (see below), whose sum is σ = 27562527720. Its totient is φ = 2120663040.

The previous prime is 7952578559. The next prime is 7952578591. The reversal of 7952578560 is 658752597.

7952578560 is a `hidden beast` number, since 7 + 9 + 5 + 2 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 7952578497 and 7952578506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49015 + ... + 135305.

Almost surely, 2^7952578560 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 7952578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781263860).

7952578560 is an abundant number, since it is smaller than the sum of its proper divisors (19609949160).

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

7952578560 is a wasteful number, since it uses less digits than its factorization.

7952578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86324 (or 86301 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The square root of 7952578560 is about 89177.2311747791. The cubic root of 7952578560 is about 1996.0403792084.

The spelling of 7952578560 in words is "seven billion, nine hundred fifty-two million, five hundred seventy-eight thousand, five hundred sixty".