642938630501760 has 512 divisors, whose sum is σ = 2190767709012480. Its totient is φ = 159815288094720.

The previous prime is 642938630501753. The next prime is 642938630501779. The reversal of 642938630501760 is 67105036839246.

642938630501760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 642938630501694 and 642938630501703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14706811422 + ... + 14706855138.

It is an arithmetic number, because the mean of its divisors is an integer number (4278843181665).

It is a 1-persistent number, because it is pandigital, but 2⋅642938630501760 = 1285877261003520 is not.

Almost surely, 2^{642938630501760} is an apocalyptic number.

642938630501760 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 642938630501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095383854506240).

642938630501760 is an abundant number, since it is smaller than the sum of its proper divisors (1547829078510720).

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

642938630501760 is a wasteful number, since it uses less digits than its factorization.

642938630501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48074 (or 48062 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 642938630501760 in words is "six hundred forty-two trillion, nine hundred thirty-eight billion, six hundred thirty million, five hundred one thousand, seven hundred sixty".