813326731776 has 640 divisors, whose sum is σ = 2797560944640. Its totient is φ = 231043497984.

The previous prime is 813326731769. The next prime is 813326731853. The reversal of 813326731776 is 677137623318.

813326731776 is a `hidden beast` number, since 81 + 3 + 326 + 73 + 177 + 6 = 666.

It is a super-2 number, since 2×813326731776² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 161918001 + ... + 161923023.

It is an arithmetic number, because the mean of its divisors is an integer number (4371188976).

Almost surely, 2^813326731776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813326731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398780472320).

813326731776 is an abundant number, since it is smaller than the sum of its proper divisors (1984234212864).

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

813326731776 is a wasteful number, since it uses less digits than its factorization.

813326731776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5111 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 813326731776 in words is "eight hundred thirteen billion, three hundred twenty-six million, seven hundred thirty-one thousand, seven hundred seventy-six".