323649406080 has 2592 divisors, whose sum is σ = 1598030981820. Its totient is φ = 62078607360.

The previous prime is 323649406009. The next prime is 323649406123. The reversal of 323649406080 is 80604946323.

323649406080 is a `hidden beast` number, since 3 + 2 + 36 + 4 + 9 + 4 + 0 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301242908736 + 22406497344 = 548856^2 + 149688^2 .

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 24896108154 + ... + 24896108166.

Almost surely, 2^323649406080 is an apocalyptic number.

323649406080 is a gapful number since it is divisible by the number (30) 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 323649406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799015490910).

323649406080 is an abundant number, since it is smaller than the sum of its proper divisors (1274381575740).

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

323649406080 is an equidigital number, since it uses as much as digits as its factorization.

323649406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 323649406080 in words is "three hundred twenty-three billion, six hundred forty-nine million, four hundred six thousand, eighty".