642554848000 has 576 divisors, whose sum is σ = 1868545590912. Its totient is φ = 217998950400.

The previous prime is 642554847989. The next prime is 642554848003. The reversal of 642554848000 is 848455246.

It is not an unprimeable number, because it can be changed into a prime (642554848003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304094944 + ... + 304097056.

It is an arithmetic number, because the mean of its divisors is an integer number (3244002762).

Almost surely, 2^642554848000 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 642554848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934272795456).

642554848000 is an abundant number, since it is smaller than the sum of its proper divisors (1225990742912).

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

642554848000 is a wasteful number, since it uses less digits than its factorization.

642554848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 642554848000 in words is "six hundred forty-two billion, five hundred fifty-four million, eight hundred forty-eight thousand".