6813963405504 has 168 divisors, whose sum is σ = 19628284116480. Its totient is φ = 2260022349312.

The previous prime is 6813963405497. The next prime is 6813963405511. The reversal of 6813963405504 is 4055043693186.

6813963405504 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 96 + 3 + 40 + 5 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (6813963405497) and next prime (6813963405511).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179357199 + ... + 179395185.

Almost surely, 2^{6813963405504} is an apocalyptic number.

6813963405504 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 6813963405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814142058240).

6813963405504 is an abundant number, since it is smaller than the sum of its proper divisors (12814320710976).

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

6813963405504 is a wasteful number, since it uses less digits than its factorization.

6813963405504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39547 (or 39534 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 6813963405504 in words is "six trillion, eight hundred thirteen billion, nine hundred sixty-three million, four hundred five thousand, five hundred four".