642618345600 has 1152 divisors, whose sum is σ = 2876407148160. Its totient is φ = 132710400000.

The previous prime is 642618345599. The next prime is 642618345631. The reversal of 642618345600 is 6543816246.

642618345600 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 1 + 8 + 34 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 401384800 + ... + 401386400.

It is an arithmetic number, because the mean of its divisors is an integer number (2496881205).

Almost surely, 2^642618345600 is an apocalyptic number.

642618345600 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 642618345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438203574080).

642618345600 is an abundant number, since it is smaller than the sum of its proper divisors (2233788802560).

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

642618345600 is a wasteful number, since it uses less digits than its factorization.

642618345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 642618345600 in words is "six hundred forty-two billion, six hundred eighteen million, three hundred forty-five thousand, six hundred".