6887493120 has 120 divisors (see below), whose sum is σ = 22041729864. Its totient is φ = 1834725376.

The previous prime is 6887493113. The next prime is 6887493121. The reversal of 6887493120 is 213947886.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6887493120² = 94875122956094668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6887493120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6887493121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7272487 + ... + 7273433.

Almost surely, 2^6887493120 is an apocalyptic number.

6887493120 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 6887493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11020864932).

6887493120 is an abundant number, since it is smaller than the sum of its proper divisors (15154236744).

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

6887493120 is an frugal number, since it uses more digits than its factorization.

6887493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 6887493120 is about 82990.9219131828. The cubic root of 6887493120 is about 1902.6273089728.

The spelling of 6887493120 in words is "six billion, eight hundred eighty-seven million, four hundred ninety-three thousand, one hundred twenty".