6813426175920 has 720 divisors, whose sum is σ = 29722495263552. Its totient is φ = 1361892372480.

The previous prime is 6813426175903. The next prime is 6813426175931. The reversal of 6813426175920 is 295716243186.

It is a happy number.

6813426175920 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 42 + 6 + 1 + 7 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23508690 + ... + 23796750.

It is a 1-persistent number, because it is pandigital, but 2⋅6813426175920 = 13626852351840 is not.

Almost surely, 2^{6813426175920} is an apocalyptic number.

6813426175920 is a gapful number since it is divisible by the number (60) 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 6813426175920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14861247631776).

6813426175920 is an abundant number, since it is smaller than the sum of its proper divisors (22909069087632).

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

6813426175920 is a wasteful number, since it uses less digits than its factorization.

6813426175920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288138 (or 288110 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 6813426175920 in words is "six trillion, eight hundred thirteen billion, four hundred twenty-six million, one hundred seventy-five thousand, nine hundred twenty".