6887358720 has 756 divisors, whose sum is σ = 27633483948. Its totient is φ = 1642291200.

The previous prime is 6887358707. The next prime is 6887358761. The reversal of 6887358720 is 278537886.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 5780865024 = 33264^2 + 76032^2 .

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 83 ways as a sum of consecutive naturals, for example, 112907490 + ... + 112907550.

Almost surely, 2^6887358720 is an apocalyptic number.

6887358720 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 6887358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816741974).

6887358720 is an abundant number, since it is smaller than the sum of its proper divisors (20746125228).

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

6887358720 is an equidigital number, since it uses as much as digits as its factorization.

6887358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 6887358720 is about 82990.1121821148. The cubic root of 6887358720 is about 1902.6149331698.

The spelling of 6887358720 in words is "six billion, eight hundred eighty-seven million, three hundred fifty-eight thousand, seven hundred twenty".