7648865280 has 528 divisors, whose sum is σ = 31636859904. Its totient is φ = 1670676480.

The previous prime is 7648865269. The next prime is 7648865281. The reversal of 7648865280 is 825688467.

7648865280 is a `hidden beast` number, since 76 + 48 + 8 + 6 + 528 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (7648865281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7418365 + ... + 7419395.

Almost surely, 2^7648865280 is an apocalyptic number.

7648865280 is a gapful number since it is divisible by the number (70) 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 7648865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818429952).

7648865280 is an abundant number, since it is smaller than the sum of its proper divisors (23987994624).

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

7648865280 is a wasteful number, since it uses less digits than its factorization.

7648865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 7648865280 is about 87457.7914196328. The cubic root of 7648865280 is about 1970.2999088181.

The spelling of 7648865280 in words is "seven billion, six hundred forty-eight million, eight hundred sixty-five thousand, two hundred eighty".