323643587904 has 1344 divisors, whose sum is σ = 1274424883200. Its totient is φ = 78567211008.

The previous prime is 323643587879. The next prime is 323643587941. The reversal of 323643587904 is 409785346323.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×323643587904² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2328371067 + ... + 2328371205.

It is an arithmetic number, because the mean of its divisors is an integer number (948232800).

Almost surely, 2^323643587904 is an apocalyptic number.

323643587904 is a gapful number since it is divisible by the number (34) 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 323643587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637212441600).

323643587904 is an abundant number, since it is smaller than the sum of its proper divisors (950781295296).

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

323643587904 is a wasteful number, since it uses less digits than its factorization.

323643587904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 323643587904 in words is "three hundred twenty-three billion, six hundred forty-three million, five hundred eighty-seven thousand, nine hundred four".