813474027756 has 144 divisors (see below), whose sum is σ = 2220756222048. Its totient is φ = 249588864000.

The previous prime is 813474027727. The next prime is 813474027761. The reversal of 813474027756 is 657720474318.

813474027756 is a `hidden beast` number, since 81 + 3 + 47 + 402 + 77 + 56 = 666.

It is a super-3 number, since 3×813474027756³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449184091 + ... + 449185901.

Almost surely, 2^813474027756 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 813474027756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110378111024).

813474027756 is an abundant number, since it is smaller than the sum of its proper divisors (1407282194292).

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

813474027756 is a wasteful number, since it uses less digits than its factorization.

813474027756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 813474027756 in words is "eight hundred thirteen billion, four hundred seventy-four million, twenty-seven thousand, seven hundred fifty-six".