6872523840 has 448 divisors, whose sum is σ = 29843089920. Its totient is φ = 1449861120.

The previous prime is 6872523821. The next prime is 6872523851. The reversal of 6872523840 is 483252786.

6872523840 is a `hidden beast` number, since 6 + 87 + 2 + 523 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781870 + ... + 790610.

It is an arithmetic number, because the mean of its divisors is an integer number (66614040).

Almost surely, 2^6872523840 is an apocalyptic number.

6872523840 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 6872523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921544960).

6872523840 is an abundant number, since it is smaller than the sum of its proper divisors (22970566080).

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

6872523840 is a wasteful number, since it uses less digits than its factorization.

6872523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8787 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6872523840 is about 82900.6866075306. The cubic root of 6872523840 is about 1901.2479188770.

The spelling of 6872523840 in words is "six billion, eight hundred seventy-two million, five hundred twenty-three thousand, eight hundred forty".