642514611424 has 192 divisors, whose sum is σ = 1642670668800. Its totient is φ = 240922902528.

The previous prime is 642514611421. The next prime is 642514611523. The reversal of 642514611424 is 424116415246.

642514611424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×642514611424³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642514611421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2725584 + ... + 2951920.

It is an arithmetic number, because the mean of its divisors is an integer number (8555576400).

Almost surely, 2^642514611424 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 642514611424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821335334400).

642514611424 is an abundant number, since it is smaller than the sum of its proper divisors (1000156057376).

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

642514611424 is a wasteful number, since it uses less digits than its factorization.

642514611424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226425 (or 226417 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The spelling of 642514611424 in words is "six hundred forty-two billion, five hundred fourteen million, six hundred eleven thousand, four hundred twenty-four".