642384000 has 256 divisors, whose sum is σ = 2367705600. Its totient is φ = 171187200.

The previous prime is 642383999. The next prime is 642384011. The reversal of 642384000 is 483246.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431257 + ... + 432743.

It is an arithmetic number, because the mean of its divisors is an integer number (9248850).

Almost surely, 2^642384000 is an apocalyptic number.

642384000 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 642384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183852800).

642384000 is an abundant number, since it is smaller than the sum of its proper divisors (1725321600).

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

642384000 is a wasteful number, since it uses less digits than its factorization.

642384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 642384000 is about 25345.2954214387. The cubic root of 642384000 is about 862.8425860236.

The spelling of 642384000 in words is "six hundred forty-two million, three hundred eighty-four thousand".