642313540 has 96 divisors (see below), whose sum is σ = 1503992448. Its totient is φ = 228480000.

The previous prime is 642313517. The next prime is 642313543. The reversal of 642313540 is 45313246.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 642313499 and 642313508.

It is not an unprimeable number, because it can be changed into a prime (642313543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3044035 + ... + 3044245.

It is an arithmetic number, because the mean of its divisors is an integer number (15666588).

Almost surely, 2^642313540 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 642313540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751996224).

642313540 is an abundant number, since it is smaller than the sum of its proper divisors (861678908).

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

642313540 is a wasteful number, since it uses less digits than its factorization.

642313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 642313540 is about 25343.9053817678. The cubic root of 642313540 is about 862.8110378574.

Adding to 642313540 its reverse (45313246), we get a palindrome (687626786).

The spelling of 642313540 in words is "six hundred forty-two million, three hundred thirteen thousand, five hundred forty".