642325248 has 288 divisors, whose sum is σ = 2057081600. Its totient is φ = 197074944.

The previous prime is 642325237. The next prime is 642325249. The reversal of 642325248 is 842523246.

642325248 is a `hidden beast` number, since 642 + 3 + 2 + 5 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (642325249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8798940 + ... + 8799012.

Almost surely, 2^642325248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028540800).

642325248 is an abundant number, since it is smaller than the sum of its proper divisors (1414756352).

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

642325248 is a wasteful number, since it uses less digits than its factorization.

642325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 642325248 is about 25344.1363632695. The cubic root of 642325248 is about 862.8162802246.

The spelling of 642325248 in words is "six hundred forty-two million, three hundred twenty-five thousand, two hundred forty-eight".