642555555246 has 384 divisors, whose sum is σ = 1706226508800. Its totient is φ = 177594197760.

The previous prime is 642555555199. The next prime is 642555555269.

It is a happy number.

642555555246 is a `hidden beast` number, since 6 + 42 + 5 + 5 + 5 + 5 + 552 + 46 = 666.

642555555246 is nontrivially palindromic in base 10.

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 = 642555555192 and 642555555201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 864811951 + ... + 864812693.

It is an arithmetic number, because the mean of its divisors is an integer number (4443298200).

Almost surely, 2^642555555246 is an apocalyptic number.

642555555246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642555555246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853113254400).

642555555246 is an abundant number, since it is smaller than the sum of its proper divisors (1063670953554).

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

642555555246 is a wasteful number, since it uses less digits than its factorization.

642555555246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 924 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 642555555246 in words is "six hundred forty-two billion, five hundred fifty-five million, five hundred fifty-five thousand, two hundred forty-six".