6881434560 has 1512 divisors, whose sum is σ = 33643628928. Its totient is φ = 1277337600.

The previous prime is 6881434541. The next prime is 6881434579. The reversal of 6881434560 is 654341886.

6881434560 is a `hidden beast` number, since 6 + 8 + 81 + 4 + 3 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6881434541) and next prime (6881434579).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 221981745 + ... + 221981775.

Almost surely, 2^6881434560 is an apocalyptic number.

6881434560 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 6881434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821814464).

6881434560 is an abundant number, since it is smaller than the sum of its proper divisors (26762194368).

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

6881434560 is a wasteful number, since it uses less digits than its factorization.

6881434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6881434560 is about 82954.4125408649. The cubic root of 6881434560 is about 1902.0692654239.

The spelling of 6881434560 in words is "six billion, eight hundred eighty-one million, four hundred thirty-four thousand, five hundred sixty".