6813791384976 has 225 divisors, whose sum is σ = 20386490596923. Its totient is φ = 2197057504320.

The previous prime is 6813791384941. The next prime is 6813791384987. The reversal of 6813791384976 is 6794831973186.

It is a happy number.

The square root of 6813791384976 is 2610324.

It is a perfect power (a square), and thus also a powerful number.

6813791384976 is a `hidden beast` number, since 6 + 8 + 13 + 7 + 91 + 38 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2913120415 + ... + 2913122753.

Almost surely, 2^{6813791384976} is an apocalyptic number.

6813791384976 is the 2610324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6813791384976

6813791384976 is an abundant number, since it is smaller than the sum of its proper divisors (13572699211947).

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

6813791384976 is an frugal number, since it uses more digits than its factorization.

6813791384976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 2375 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 6813791384976 in words is "six trillion, eight hundred thirteen billion, seven hundred ninety-one million, three hundred eighty-four thousand, nine hundred seventy-six".