6884710560 has 768 divisors, whose sum is σ = 30156779520. Its totient is φ = 1428295680.

The previous prime is 6884710559. The next prime is 6884710561. The reversal of 6884710560 is 650174886.

It is a happy number.

6884710560 is a `hidden beast` number, since 6 + 8 + 84 + 7 + 1 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6884710559) and next prime (6884710561).

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

It is not an unprimeable number, because it can be changed into a prime (6884710561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32628855 + ... + 32629065.

It is an arithmetic number, because the mean of its divisors is an integer number (39266640).

Almost surely, 2^6884710560 is an apocalyptic number.

6884710560 is a gapful number since it is divisible by the number (60) 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 6884710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078389760).

6884710560 is an abundant number, since it is smaller than the sum of its proper divisors (23272068960).

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

6884710560 is a wasteful number, since it uses less digits than its factorization.

6884710560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6884710560 is about 82974.1559764244. The cubic root of 6884710560 is about 1902.3710528060.

The spelling of 6884710560 in words is "six billion, eight hundred eighty-four million, seven hundred ten thousand, five hundred sixty".