642463455600 has 600 divisors, whose sum is σ = 2415906149888. Its totient is φ = 163305331200.

The previous prime is 642463455509. The next prime is 642463455637. The reversal of 642463455600 is 6554364246.

It is a happy number.

642463455600 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 6 + 34 + 5 + 5 + 600 = 666.

642463455600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67290027 + ... + 67299573.

Almost surely, 2^642463455600 is an apocalyptic number.

642463455600 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 642463455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207953074944).

642463455600 is an abundant number, since it is smaller than the sum of its proper divisors (1773442694288).

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

642463455600 is a wasteful number, since it uses less digits than its factorization.

642463455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 642463455600 in words is "six hundred forty-two billion, four hundred sixty-three million, four hundred fifty-five thousand, six hundred".