323261643264 has 640 divisors, whose sum is σ = 1072525639680. Its totient is φ = 84536524800.

The previous prime is 323261643251. The next prime is 323261643337. The reversal of 323261643264 is 462346162323.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512300229 + ... + 512300859.

It is an arithmetic number, because the mean of its divisors is an integer number (1675821312).

Almost surely, 2^323261643264 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 323261643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536262819840).

323261643264 is an abundant number, since it is smaller than the sum of its proper divisors (749263996416).

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

323261643264 is a wasteful number, since it uses less digits than its factorization.

323261643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 756 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 323261643264 in words is "three hundred twenty-three billion, two hundred sixty-one million, six hundred forty-three thousand, two hundred sixty-four".