7743678464 has 48 divisors (see below), whose sum is σ = 15621065460. Its totient is φ = 3837460480.

The previous prime is 7743678457. The next prime is 7743678529. The reversal of 7743678464 is 4648763477.

It can be written as a sum of positive squares in 2 ways, for example, as 6948889600 + 794788864 = 83360^2 + 28192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214694 + ... + 248154.

Almost surely, 2^7743678464 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 7743678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810532730).

7743678464 is an abundant number, since it is smaller than the sum of its proper divisors (7877386996).

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

7743678464 is a wasteful number, since it uses less digits than its factorization.

7743678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33596 (or 33576 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 56.

The square root of 7743678464 is about 87998.1730719451. The cubic root of 7743678464 is about 1978.4075949444.

The spelling of 7743678464 in words is "seven billion, seven hundred forty-three million, six hundred seventy-eight thousand, four hundred sixty-four".