813061682664 has 256 divisors, whose sum is σ = 2605122017280. Its totient is φ = 205286814720.

The previous prime is 813061682633. The next prime is 813061682707. The reversal of 813061682664 is 466286160318.

813061682664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813061682664² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82935187 + ... + 82944989.

It is an arithmetic number, because the mean of its divisors is an integer number (10176257880).

Almost surely, 2^813061682664 is an apocalyptic number.

813061682664 is a gapful number since it is divisible by the number (84) 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 813061682664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302561008640).

813061682664 is an abundant number, since it is smaller than the sum of its proper divisors (1792060334616).

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

813061682664 is a wasteful number, since it uses less digits than its factorization.

813061682664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 813061682664 in words is "eight hundred thirteen billion, sixty-one million, six hundred eighty-two thousand, six hundred sixty-four".