7957275648 has 352 divisors, whose sum is σ = 25419220224. Its totient is φ = 2165833728.

The previous prime is 7957275643. The next prime is 7957275659. The reversal of 7957275648 is 8465727597.

It is a junction number, because it is equal to n+sod(n) for n = 7957275591 and 7957275600.

It is not an unprimeable number, because it can be changed into a prime (7957275643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58082236 + ... + 58082372.

Almost surely, 2^7957275648 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 7957275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709610112).

7957275648 is an abundant number, since it is smaller than the sum of its proper divisors (17461944576).

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

7957275648 is a wasteful number, since it uses less digits than its factorization.

7957275648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 60.

The square root of 7957275648 is about 89203.5629781681. The cubic root of 7957275648 is about 1996.4332803700.

The spelling of 7957275648 in words is "seven billion, nine hundred fifty-seven million, two hundred seventy-five thousand, six hundred forty-eight".