7065560880 has 480 divisors, whose sum is σ = 28530406080. Its totient is φ = 1602478080.

The previous prime is 7065560839. The next prime is 7065560881. The reversal of 7065560880 is 880655607.

7065560880 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 560 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7065560881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25507302 + ... + 25507578.

It is an arithmetic number, because the mean of its divisors is an integer number (59438346).

Almost surely, 2^7065560880 is an apocalyptic number.

7065560880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7065560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265203040).

7065560880 is an abundant number, since it is smaller than the sum of its proper divisors (21464845200).

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

7065560880 is a wasteful number, since it uses less digits than its factorization.

7065560880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 7065560880 is about 84056.8907347875. The cubic root of 7065560880 is about 1918.8847038309.

The spelling of 7065560880 in words is "seven billion, sixty-five million, five hundred sixty thousand, eight hundred eighty".