642853229760 has 896 divisors, whose sum is σ = 2690433024000. Its totient is φ = 141401272320.

The previous prime is 642853229743. The next prime is 642853229797. The reversal of 642853229760 is 67922358246.

642853229760 is a `hidden beast` number, since 6 + 4 + 28 + 532 + 29 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 642853229697 and 642853229706.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 373100259 + ... + 373101981.

Almost surely, 2^642853229760 is an apocalyptic number.

642853229760 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 642853229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345216512000).

642853229760 is an abundant number, since it is smaller than the sum of its proper divisors (2047579794240).

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

642853229760 is a wasteful number, since it uses less digits than its factorization.

642853229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 642853229760 in words is "six hundred forty-two billion, eight hundred fifty-three million, two hundred twenty-nine thousand, seven hundred sixty".