6826129632 has 144 divisors (see below), whose sum is σ = 23160226320. Its totient is φ = 1950310656.

The previous prime is 6826129621. The next prime is 6826129633. The reversal of 6826129632 is 2369216286.

6826129632 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 1 + 2 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826129633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38283 + ... + 122954.

It is an arithmetic number, because the mean of its divisors is an integer number (160834905).

Almost surely, 2^6826129632 is an apocalyptic number.

It is an amenable number.

6826129632 is an abundant number, since it is smaller than the sum of its proper divisors (16334096688).

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

6826129632 is a wasteful number, since it uses less digits than its factorization.

6826129632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161270 (or 161249 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 6826129632 is about 82620.3947702987. The cubic root of 6826129632 is about 1896.9600169493.

The spelling of 6826129632 in words is "six billion, eight hundred twenty-six million, one hundred twenty-nine thousand, six hundred thirty-two".