604867804800 has 384 divisors, whose sum is σ = 2285427830400. Its totient is φ = 137737420800.

The previous prime is 604867804763. The next prime is 604867804811. The reversal of 604867804800 is 8408768406.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×604867804800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18060070 + ... + 18093530.

It is an arithmetic number, because the mean of its divisors is an integer number (5951634975).

Almost surely, 2^604867804800 is an apocalyptic number.

604867804800 is a gapful number since it is divisible by the number (60) 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 604867804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142713915200).

604867804800 is an abundant number, since it is smaller than the sum of its proper divisors (1680560025600).

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

604867804800 is a wasteful number, since it uses less digits than its factorization.

604867804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33764 (or 33747 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 604867804800 in words is "six hundred four billion, eight hundred sixty-seven million, eight hundred four thousand, eight hundred".