323472542400 has 1008 divisors, whose sum is σ = 1367883878400. Its totient is φ = 70934814720.

The previous prime is 323472542399. The next prime is 323472542441. The reversal of 323472542400 is 4245274323.

323472542400 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 72 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 698644569 + ... + 698645031.

Almost surely, 2^323472542400 is an apocalyptic number.

323472542400 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 323472542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683941939200).

323472542400 is an abundant number, since it is smaller than the sum of its proper divisors (1044411336000).

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

323472542400 is a wasteful number, since it uses less digits than its factorization.

323472542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 323472542400 in words is "three hundred twenty-three billion, four hundred seventy-two million, five hundred forty-two thousand, four hundred".