823488464736 has 960 divisors, whose sum is σ = 2994733969920. Its totient is φ = 216782438400.

The previous prime is 823488464707. The next prime is 823488464779. The reversal of 823488464736 is 637464884328.

It is a happy number.

823488464736 is a `hidden beast` number, since 8 + 23 + 4 + 88 + 464 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2332828336 + ... + 2332828688.

It is an arithmetic number, because the mean of its divisors is an integer number (3119514552).

Almost surely, 2^823488464736 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 823488464736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497366984960).

823488464736 is an abundant number, since it is smaller than the sum of its proper divisors (2171245505184).

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

823488464736 is a wasteful number, since it uses less digits than its factorization.

823488464736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 552 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 823488464736 in words is "eight hundred twenty-three billion, four hundred eighty-eight million, four hundred sixty-four thousand, seven hundred thirty-six".