642803040 has 384 divisors, whose sum is σ = 2499517440. Its totient is φ = 154897920.

The previous prime is 642803023. The next prime is 642803089. The reversal of 642803040 is 40308246.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 642802995 and 642803013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3849037 + ... + 3849203.

It is an arithmetic number, because the mean of its divisors is an integer number (6509160).

Almost surely, 2^642803040 is an apocalyptic number.

642803040 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 642803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249758720).

642803040 is an abundant number, since it is smaller than the sum of its proper divisors (1856714400).

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

642803040 is a wasteful number, since it uses less digits than its factorization.

642803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 642803040 is about 25353.5606966753. The cubic root of 642803040 is about 863.0301617659.

The spelling of 642803040 in words is "six hundred forty-two million, eight hundred three thousand, forty".