6813129024 has 392 divisors, whose sum is σ = 22387438080. Its totient is φ = 2043159552.

The previous prime is 6813129019. The next prime is 6813129061. The reversal of 6813129024 is 4209213186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6813129024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28506697 + ... + 28506935.

Almost surely, 2^6813129024 is an apocalyptic number.

6813129024 is a gapful number since it is divisible by the number (64) 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 6813129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193719040).

6813129024 is an abundant number, since it is smaller than the sum of its proper divisors (15574309056).

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

6813129024 is a wasteful number, since it uses less digits than its factorization.

6813129024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6813129024 is about 82541.6805256593. The cubic root of 6813129024 is about 1895.7549755467.

The spelling of 6813129024 in words is "six billion, eight hundred thirteen million, one hundred twenty-nine thousand, twenty-four".