642982784 has 64 divisors (see below), whose sum is σ = 1319606640. Its totient is φ = 311894016.

The previous prime is 642982763. The next prime is 642982799. The reversal of 642982784 is 487289246.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1083992 + ... + 1084584.

Almost surely, 2^642982784 is an apocalyptic number.

642982784 is a gapful number since it is divisible by the number (64) 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 642982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659803320).

642982784 is an abundant number, since it is smaller than the sum of its proper divisors (676623856).

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

642982784 is a wasteful number, since it uses less digits than its factorization.

642982784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 642982784 is about 25357.1051975575. The cubic root of 642982784 is about 863.1105959617.

The spelling of 642982784 in words is "six hundred forty-two million, nine hundred eighty-two thousand, seven hundred eighty-four".