815364564688 has 80 divisors (see below), whose sum is σ = 1664648812800. Its totient is φ = 386328983040.

The previous prime is 815364564673. The next prime is 815364564689. The reversal of 815364564688 is 886465463518.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815364564689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13073643 + ... + 13135861.

It is an arithmetic number, because the mean of its divisors is an integer number (20808110160).

Almost surely, 2^815364564688 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 815364564688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832324406400).

815364564688 is an abundant number, since it is smaller than the sum of its proper divisors (849284248112).

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

815364564688 is a wasteful number, since it uses less digits than its factorization.

815364564688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62780 (or 62774 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 64.

The spelling of 815364564688 in words is "eight hundred fifteen billion, three hundred sixty-four million, five hundred sixty-four thousand, six hundred eighty-eight".