642624426246 has 128 divisors (see below), whose sum is σ = 1536513960960. Its totient is φ = 176872550400.

The previous prime is 642624426179. The next prime is 642624426271.

642624426246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 642624426195 and 642624426204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93933786 + ... + 93940626.

It is an arithmetic number, because the mean of its divisors is an integer number (12004015320).

Almost surely, 2^642624426246 is an apocalyptic number.

642624426246 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 642624426246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768256980480).

642624426246 is an abundant number, since it is smaller than the sum of its proper divisors (893889534714).

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

642624426246 is a wasteful number, since it uses less digits than its factorization.

642624426246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790.

The product of its digits is 5308416, while the sum is 48.

The spelling of 642624426246 in words is "six hundred forty-two billion, six hundred twenty-four million, four hundred twenty-six thousand, two hundred forty-six".