8275760640 has 720 divisors, whose sum is σ = 34594848288. Its totient is φ = 1790705664.

The previous prime is 8275760621. The next prime is 8275760641. The reversal of 8275760640 is 460675728.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8275760641) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 85317072 + ... + 85317168.

Almost surely, 2^8275760640 is an apocalyptic number.

8275760640 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 8275760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297424144).

8275760640 is an abundant number, since it is smaller than the sum of its proper divisors (26319087648).

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

8275760640 is a wasteful number, since it uses less digits than its factorization.

8275760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8275760640 is about 90971.2077527830. The cubic root of 8275760640 is about 2022.7209549769.

The spelling of 8275760640 in words is "eight billion, two hundred seventy-five million, seven hundred sixty thousand, six hundred forty".