642124800 has 264 divisors, whose sum is σ = 2360600400. Its totient is φ = 171048960.

The previous prime is 642124783. The next prime is 642124801. The reversal of 642124800 is 8421246.

642124800 is a `hidden beast` number, since 642 + 12 + 4 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (642124801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690736 + ... + 691664.

Almost surely, 2^642124800 is an apocalyptic number.

642124800 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 642124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180300200).

642124800 is an abundant number, since it is smaller than the sum of its proper divisors (1718475600).

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

642124800 is a wasteful number, since it uses less digits than its factorization.

642124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 642124800 is about 25340.1815305258. The cubic root of 642124800 is about 862.7265189539.

The spelling of 642124800 in words is "six hundred forty-two million, one hundred twenty-four thousand, eight hundred".