8274648960 has 640 divisors, whose sum is σ = 32227430400. Its totient is φ = 2015539200.

The previous prime is 8274648959. The next prime is 8274648961. The reversal of 8274648960 is 698464728.

It is an interprime number because it is at equal distance from previous prime (8274648959) and next prime (8274648961).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×8274648960² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8274648897 and 8274648906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8274648961) 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 79 ways as a sum of consecutive naturals, for example, 30533625 + ... + 30533895.

It is an arithmetic number, because the mean of its divisors is an integer number (50355360).

Almost surely, 2^8274648960 is an apocalyptic number.

8274648960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8274648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113715200).

8274648960 is an abundant number, since it is smaller than the sum of its proper divisors (23952781440).

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

8274648960 is a wasteful number, since it uses less digits than its factorization.

8274648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8274648960 is about 90965.0974824960. The cubic root of 8274648960 is about 2022.6303804577.

The spelling of 8274648960 in words is "eight billion, two hundred seventy-four million, six hundred forty-eight thousand, nine hundred sixty".