6872511360 has 256 divisors, whose sum is σ = 25736901120. Its totient is φ = 1537843200.

The previous prime is 6872511353. The next prime is 6872511377. The reversal of 6872511360 is 631152786.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 262045 + ... + 287075.

It is an arithmetic number, because the mean of its divisors is an integer number (100534770).

Almost surely, 2^6872511360 is an apocalyptic number.

6872511360 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 6872511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868450560).

6872511360 is an abundant number, since it is smaller than the sum of its proper divisors (18864389760).

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

6872511360 is a wasteful number, since it uses less digits than its factorization.

6872511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25077 (or 25065 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 6872511360 is about 82900.6113367085. The cubic root of 6872511360 is about 1901.2467680340.

The spelling of 6872511360 in words is "six billion, eight hundred seventy-two million, five hundred eleven thousand, three hundred sixty".