8476648704 has 252 divisors, whose sum is σ = 25877487636. Its totient is φ = 2769002496.

The previous prime is 8476648703. The next prime is 8476648709. The reversal of 8476648704 is 4078466748.

It can be written as a sum of positive squares in 2 ways, for example, as 7096377600 + 1380271104 = 84240^2 + 37152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8476648703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9890644 + ... + 9891500.

It is an arithmetic number, because the mean of its divisors is an integer number (102688443).

Almost surely, 2^8476648704 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 8476648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938743818).

8476648704 is an abundant number, since it is smaller than the sum of its proper divisors (17400838932).

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

8476648704 is an frugal number, since it uses more digits than its factorization.

8476648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 8476648704 is about 92068.7172931175. The cubic root of 8476648704 is about 2038.9569754570.

The spelling of 8476648704 in words is "eight billion, four hundred seventy-six million, six hundred forty-eight thousand, seven hundred four".