6872516640 has 288 divisors, whose sum is σ = 25694952192. Its totient is φ = 1658880000.

The previous prime is 6872516597. The next prime is 6872516653. The reversal of 6872516640 is 466152786.

6872516640 is a `hidden beast` number, since 6 + 8 + 72 + 516 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4291840 + ... + 4293440.

It is an arithmetic number, because the mean of its divisors is an integer number (89218584).

Almost surely, 2^6872516640 is an apocalyptic number.

6872516640 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 6872516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847476096).

6872516640 is an abundant number, since it is smaller than the sum of its proper divisors (18822435552).

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

6872516640 is a wasteful number, since it uses less digits than its factorization.

6872516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6872516640 is about 82900.6431820646. The cubic root of 6872516640 is about 1901.2472549293.

The spelling of 6872516640 in words is "six billion, eight hundred seventy-two million, five hundred sixteen thousand, six hundred forty".