642987072 has 560 divisors, whose sum is σ = 2478389760. Its totient is φ = 160247808.

The previous prime is 642987071. The next prime is 642987077. The reversal of 642987072 is 270789246.

It is not an unprimeable number, because it can be changed into a prime (642987071) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13680553 + ... + 13680599.

It is an arithmetic number, because the mean of its divisors is an integer number (4425696).

Almost surely, 2^642987072 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 642987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239194880).

642987072 is an abundant number, since it is smaller than the sum of its proper divisors (1835402688).

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

642987072 is a wasteful number, since it uses less digits than its factorization.

642987072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 642987072 is about 25357.1897496548. The cubic root of 642987072 is about 863.1125146289.

The spelling of 642987072 in words is "six hundred forty-two million, nine hundred eighty-seven thousand, seventy-two".