6887522880 has 448 divisors, whose sum is σ = 28371271680. Its totient is φ = 1540159488.

The previous prime is 6887522861. The next prime is 6887522897. The reversal of 6887522880 is 882257886.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2841349 + ... + 2843771.

Almost surely, 2^6887522880 is an apocalyptic number.

6887522880 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 6887522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185635840).

6887522880 is an abundant number, since it is smaller than the sum of its proper divisors (21483748800).

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

6887522880 is a wasteful number, since it uses less digits than its factorization.

6887522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 6887522880 is about 82991.1012097080. The cubic root of 6887522880 is about 1902.6300493074.

The spelling of 6887522880 in words is "six billion, eight hundred eighty-seven million, five hundred twenty-two thousand, eight hundred eighty".