642981810240 has 3024 divisors, whose sum is σ = 3147450022080. Its totient is φ = 123390812160.

The previous prime is 642981810223. The next prime is 642981810281. The reversal of 642981810240 is 42018189246.

642981810240 is a `hidden beast` number, since 6 + 429 + 8 + 181 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 22171786546 + ... + 22171786574.

It is an arithmetic number, because the mean of its divisors is an integer number (1040823420).

Almost surely, 2^642981810240 is an apocalyptic number.

642981810240 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 642981810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573725011040).

642981810240 is an abundant number, since it is smaller than the sum of its proper divisors (2504468211840).

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

642981810240 is a wasteful number, since it uses less digits than its factorization.

642981810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 642981810240 its reverse (42018189246), we get a palindrome (684999999486).

The spelling of 642981810240 in words is "six hundred forty-two billion, nine hundred eighty-one million, eight hundred ten thousand, two hundred forty".