7648283395809 has 81 divisors (see below), whose sum is σ = 13023742490577. Its totient is φ = 4312536974928.

The previous prime is 7648283395787. The next prime is 7648283395871. The reversal of 7648283395809 is 9085933828467.

The square root of 7648283395809 is 2765553.

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

7648283395809 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 2 + 8 + 3 + 39 + 580 + 9 = 666.

It is not a de Polignac number, because 7648283395809 - 2⁹ = 7648283395297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7648283195809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4588051594 + ... + 4588053260.

Almost surely, 2^{7648283395809} is an apocalyptic number.

7648283395809 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

7648283395809 is the 2765553-rd square number.

7648283395809 is the 1382777-th centered octagonal number.

It is an amenable number.

7648283395809 is a deficient number, since it is larger than the sum of its proper divisors (5375459094768).

7648283395809 is an frugal number, since it uses more digits than its factorization.

7648283395809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 7648283395809 in words is "seven trillion, six hundred forty-eight billion, two hundred eighty-three million, three hundred ninety-five thousand, eight hundred nine".