642928323720 has 192 divisors, whose sum is σ = 2050424510400. Its totient is φ = 161243688960.

The previous prime is 642928323677. The next prime is 642928323721. The reversal of 642928323720 is 27323829246.

It is a happy number.

It is a super-2 number, since 2×642928323720² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 642928323720.

It is not an unprimeable number, because it can be changed into a prime (642928323721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53089026 + ... + 53101134.

It is an arithmetic number, because the mean of its divisors is an integer number (10679294325).

Almost surely, 2^642928323720 is an apocalyptic number.

642928323720 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 642928323720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025212255200).

642928323720 is an abundant number, since it is smaller than the sum of its proper divisors (1407496186680).

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

642928323720 is a wasteful number, since it uses less digits than its factorization.

642928323720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13688 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 642928323720 in words is "six hundred forty-two billion, nine hundred twenty-eight million, three hundred twenty-three thousand, seven hundred twenty".