330816964800 has 672 divisors, whose sum is σ = 1327972147200. Its totient is φ = 70413373440.

The previous prime is 330816964763. The next prime is 330816964811. The reversal of 330816964800 is 8469618033.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 330816964800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37661209 + ... + 37669991.

Almost surely, 2^330816964800 is an apocalyptic number.

330816964800 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 330816964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663986073600).

330816964800 is an abundant number, since it is smaller than the sum of its proper divisors (997155182400).

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

330816964800 is a wasteful number, since it uses less digits than its factorization.

330816964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 330816964800 in words is "three hundred thirty billion, eight hundred sixteen million, nine hundred sixty-four thousand, eight hundred".