642006048 has 96 divisors (see below), whose sum is σ = 1780531200. Its totient is φ = 201989376.

The previous prime is 642006017. The next prime is 642006049. The reversal of 642006048 is 840600246.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (642006049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698133 + ... + 699051.

It is an arithmetic number, because the mean of its divisors is an integer number (18547200).

Almost surely, 2^642006048 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 642006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890265600).

642006048 is an abundant number, since it is smaller than the sum of its proper divisors (1138525152).

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

642006048 is a wasteful number, since it uses less digits than its factorization.

642006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 642006048 is about 25337.8382661189. The cubic root of 642006048 is about 862.6733326076.

The spelling of 642006048 in words is "six hundred forty-two million, six thousand, forty-eight".