6829909970481 has 48 divisors (see below), whose sum is σ = 10799188807680. Its totient is φ = 4133845618560.

The previous prime is 6829909970479. The next prime is 6829909970503. The reversal of 6829909970481 is 1840799099286.

It is not a de Polignac number, because 6829909970481 - 2¹ = 6829909970479 is a prime.

It is a super-2 number, since 2×6829909970481² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6829909970441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176742760 + ... + 176781398.

It is an arithmetic number, because the mean of its divisors is an integer number (224983100160).

Almost surely, 2^{6829909970481} is an apocalyptic number.

6829909970481 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6829909970481 is a deficient number, since it is larger than the sum of its proper divisors (3969278837199).

6829909970481 is a wasteful number, since it uses less digits than its factorization.

6829909970481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63486 (or 63483 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 6829909970481 in words is "six trillion, eight hundred twenty-nine billion, nine hundred nine million, nine hundred seventy thousand, four hundred eighty-one".