7061658912 has 216 divisors, whose sum is σ = 25484436432. Its totient is φ = 1834156800.

The previous prime is 7061658911. The next prime is 7061658977. The reversal of 7061658912 is 2198561607.

7061658912 is a `hidden beast` number, since 7 + 0 + 61 + 6 + 589 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (7061658911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132487 + ... + 177977.

It is an arithmetic number, because the mean of its divisors is an integer number (117983502).

Almost surely, 2^7061658912 is an apocalyptic number.

7061658912 is a gapful number since it is divisible by the number (72) 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 7061658912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742218216).

7061658912 is an abundant number, since it is smaller than the sum of its proper divisors (18422777520).

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

7061658912 is a wasteful number, since it uses less digits than its factorization.

7061658912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45532 (or 45514 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 7061658912 is about 84033.6772490649. The cubic root of 7061658912 is about 1918.5314030067.

The spelling of 7061658912 in words is "seven billion, sixty-one million, six hundred fifty-eight thousand, nine hundred twelve".