7853681641 has 27 divisors (see below), whose sum is σ = 9056545743. Its totient is φ = 6806092800.

The previous prime is 7853681617. The next prime is 7853681653. The reversal of 7853681641 is 1461863587.

It is a happy number.

The square root of 7853681641 is 88621.

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

It can be written as a sum of positive squares in 13 ways, for example, as 295118041 + 7558563600 = 17179^2 + 86940^2 .

It is not a de Polignac number, because 7853681641 - 2⁷ = 7853681513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7853685641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19585041 + ... + 19585441.

Almost surely, 2^7853681641 is an apocalyptic number.

7853681641 is the 88621-st square number.

7853681641 is the 44311-st centered octagonal number.

It is an amenable number.

7853681641 is a deficient number, since it is larger than the sum of its proper divisors (1202864102).

7853681641 is an equidigital number, since it uses as much as digits as its factorization.

7853681641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 431 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The cubic root of 7853681641 is about 1987.7317017216.

Multiplying 7853681641 by its sum of digits (49), we get a square (384830400409 = 620347²).

The spelling of 7853681641 in words is "seven billion, eight hundred fifty-three million, six hundred eighty-one thousand, six hundred forty-one".