7648829256 has 64 divisors (see below), whose sum is σ = 19550361600. Its totient is φ = 2492624448.

The previous prime is 7648829233. The next prime is 7648829281. The reversal of 7648829256 is 6529288467.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7648829196 and 7648829205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195875 + ... + 1202253.

It is an arithmetic number, because the mean of its divisors is an integer number (305474400).

Almost surely, 2^7648829256 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 7648829256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775180800).

7648829256 is an abundant number, since it is smaller than the sum of its proper divisors (11901532344).

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

7648829256 is a wasteful number, since it uses less digits than its factorization.

7648829256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 7494 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 7648829256 is about 87457.5854686144. The cubic root of 7648829256 is about 1970.2968156274.

The spelling of 7648829256 in words is "seven billion, six hundred forty-eight million, eight hundred twenty-nine thousand, two hundred fifty-six".