642816000 has 480 divisors, whose sum is σ = 2473511040. Its totient is φ = 165888000.

The previous prime is 642815977. The next prime is 642816017. The reversal of 642816000 is 618246.

642816000 is a `hidden beast` number, since 642 + 8 + 16 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735985 + ... + 20736015.

It is an arithmetic number, because the mean of its divisors is an integer number (5153148).

Almost surely, 2^642816000 is an apocalyptic number.

642816000 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 642816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236755520).

642816000 is an abundant number, since it is smaller than the sum of its proper divisors (1830695040).

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

642816000 is an equidigital number, since it uses as much as digits as its factorization.

642816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 642816000 is about 25353.8162807890. The cubic root of 642816000 is about 863.0359617777.

The spelling of 642816000 in words is "six hundred forty-two million, eight hundred sixteen thousand".