6840523872 has 432 divisors, whose sum is σ = 25290235152. Its totient is φ = 1802787840.

The previous prime is 6840523871. The next prime is 6840523873. The reversal of 6840523872 is 2783250486.

6840523872 is a `hidden beast` number, since 6 + 8 + 40 + 523 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6840523871) and next prime (6840523873).

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840523871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4952622 + ... + 4954002.

It is an arithmetic number, because the mean of its divisors is an integer number (58542211).

Almost surely, 2^6840523872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840523872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645117576).

6840523872 is an abundant number, since it is smaller than the sum of its proper divisors (18449711280).

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

6840523872 is a wasteful number, since it uses less digits than its factorization.

6840523872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1406 counting only the distinct ones).

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

The square root of 6840523872 is about 82707.4595910188. The cubic root of 6840523872 is about 1898.2924522048.

The spelling of 6840523872 in words is "six billion, eight hundred forty million, five hundred twenty-three thousand, eight hundred seventy-two".