823627284480 has 2720 divisors, whose sum is σ = 4092535738368. Its totient is φ = 152882380800.

The previous prime is 823627284451. The next prime is 823627284553. The reversal of 823627284480 is 84482726328.

823627284480 is a `hidden beast` number, since 8 + 2 + 3 + 627 + 2 + 8 + 4 + 4 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 26568622065 + ... + 26568622095.

Almost surely, 2^823627284480 is an apocalyptic number.

823627284480 is a gapful number since it is divisible by the number (80) 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 823627284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046267869184).

823627284480 is an abundant number, since it is smaller than the sum of its proper divisors (3268908453888).

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

823627284480 is a wasteful number, since it uses less digits than its factorization.

823627284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 823627284480 in words is "eight hundred twenty-three billion, six hundred twenty-seven million, two hundred eighty-four thousand, four hundred eighty".