7670957056 has 297 divisors, whose sum is σ = 19808710509. Its totient is φ = 2959638528.

The previous prime is 7670957053. The next prime is 7670957057. The reversal of 7670957056 is 6507590767.

The square root of 7670957056 is 87584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5972198400 + 1698758656 = 77280^2 + 41216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7670956994 and 7670957012.

It is not an unprimeable number, because it can be changed into a prime (7670957053) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 333519861 + ... + 333519883.

Almost surely, 2^7670957056 is an apocalyptic number.

7670957056 is the 87584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7670957056

7670957056 is an abundant number, since it is smaller than the sum of its proper divisors (12137753453).

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

7670957056 is a wasteful number, since it uses less digits than its factorization.

7670957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 52.

The cubic root of 7670957056 is about 1972.1949866649.

The spelling of 7670957056 in words is "seven billion, six hundred seventy million, nine hundred fifty-seven thousand, fifty-six".