7656126912 has 336 divisors, whose sum is σ = 27566112000. Its totient is φ = 2071899648.

The previous prime is 7656126859. The next prime is 7656126977. The reversal of 7656126912 is 2196216567.

7656126912 is a `hidden beast` number, since 76 + 561 + 2 + 6 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606389 + ... + 1611147.

It is an arithmetic number, because the mean of its divisors is an integer number (82042000).

Almost surely, 2^7656126912 is an apocalyptic number.

7656126912 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 7656126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783056000).

7656126912 is an abundant number, since it is smaller than the sum of its proper divisors (19909985088).

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

7656126912 is a wasteful number, since it uses less digits than its factorization.

7656126912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4790 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 7656126912 is about 87499.2966371730. The cubic root of 7656126912 is about 1970.9232286169.

The spelling of 7656126912 in words is "seven billion, six hundred fifty-six million, one hundred twenty-six thousand, nine hundred twelve".