642504303342720 has 2304 divisors, whose sum is σ = 2975338809031680. Its totient is φ = 131187773767680.

The previous prime is 642504303342703. The next prime is 642504303342761. The reversal of 642504303342720 is 27243303405246.

642504303342720 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 0 + 43 + 0 + 334 + 272 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 3070948834 + ... + 3071158046.

It is an arithmetic number, because the mean of its divisors is an integer number (1291379691420).

Almost surely, 2^{642504303342720} is an apocalyptic number.

642504303342720 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 642504303342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487669404515840).

642504303342720 is an abundant number, since it is smaller than the sum of its proper divisors (2332834505688960).

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

642504303342720 is a wasteful number, since it uses less digits than its factorization.

642504303342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209305 (or 209274 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

Adding to 642504303342720 its reverse (27243303405246), we get a palindrome (669747606747966).

The spelling of 642504303342720 in words is "six hundred forty-two trillion, five hundred four billion, three hundred three million, three hundred forty-two thousand, seven hundred twenty".