642782233120 has 72 divisors (see below), whose sum is σ = 1534393407204. Its totient is φ = 254461648896.

The previous prime is 642782233111. The next prime is 642782233123. The reversal of 642782233120 is 21332287246.

It can be written as a sum of positive squares in 6 ways, for example, as 116234628624 + 526547604496 = 340932^2 + 725636^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (642782233123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1291954 + ... + 1718926.

Almost surely, 2^642782233120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642782233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767196703602).

642782233120 is an abundant number, since it is smaller than the sum of its proper divisors (891611174084).

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

642782233120 is an equidigital number, since it uses as much as digits as its factorization.

642782233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427182 (or 427077 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 642782233120 in words is "six hundred forty-two billion, seven hundred eighty-two million, two hundred thirty-three thousand, one hundred twenty".