6535807872 has 512 divisors, whose sum is σ = 21432729600. Its totient is φ = 1741824000.

The previous prime is 6535807867. The next prime is 6535807897. The reversal of 6535807872 is 2787085356.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 92053597 + ... + 92053667.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 2^6535807872 is an apocalyptic number.

6535807872 is a gapful number since it is divisible by the number (62) 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 6535807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716364800).

6535807872 is an abundant number, since it is smaller than the sum of its proper divisors (14896921728).

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

6535807872 is a wasteful number, since it uses less digits than its factorization.

6535807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 6535807872 is about 80844.3434755951. The cubic root of 6535807872 is about 1869.6763118049.

The spelling of 6535807872 in words is "six billion, five hundred thirty-five million, eight hundred seven thousand, eight hundred seventy-two".