8321762560 has 72 divisors (see below), whose sum is σ = 20002154760. Its totient is φ = 3317194752.

The previous prime is 8321762509. The next prime is 8321762567. The reversal of 8321762560 is 652671238.

It can be written as a sum of positive squares in 4 ways, for example, as 3315917056 + 5005845504 = 57584^2 + 70752^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8321762567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363946 + ... + 386134.

It is an arithmetic number, because the mean of its divisors is an integer number (277807705).

Almost surely, 2^8321762560 is an apocalyptic number.

8321762560 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 8321762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001077380).

8321762560 is an abundant number, since it is smaller than the sum of its proper divisors (11680392200).

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

8321762560 is a wasteful number, since it uses less digits than its factorization.

8321762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22503 (or 22489 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 8321762560 is about 91223.6951674290. The cubic root of 8321762560 is about 2026.4618868192.

The spelling of 8321762560 in words is "eight billion, three hundred twenty-one million, seven hundred sixty-two thousand, five hundred sixty".