6872815488 has 512 divisors, whose sum is σ = 24513684480. Its totient is φ = 1665269760.

The previous prime is 6872815487. The next prime is 6872815493. The reversal of 6872815488 is 8845182786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872815487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60821320 + ... + 60821432.

It is an arithmetic number, because the mean of its divisors is an integer number (47878290).

Almost surely, 2^6872815488 is an apocalyptic number.

6872815488 is a gapful number since it is divisible by the number (68) 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 6872815488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256842240).

6872815488 is an abundant number, since it is smaller than the sum of its proper divisors (17640868992).

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

6872815488 is a wasteful number, since it uses less digits than its factorization.

6872815488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 57.

The square root of 6872815488 is about 82902.4456092822. The cubic root of 6872815488 is about 1901.2748127965.

The spelling of 6872815488 in words is "six billion, eight hundred seventy-two million, eight hundred fifteen thousand, four hundred eighty-eight".