642281472 has 312 divisors, whose sum is σ = 2248920960. Its totient is φ = 172523520.

The previous prime is 642281459. The next prime is 642281477. The reversal of 642281472 is 274182246.

642281472 is a `hidden beast` number, since 642 + 2 + 8 + 1 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642281477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902847 + ... + 4902977.

It is an arithmetic number, because the mean of its divisors is an integer number (7208080).

Almost surely, 2^642281472 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 642281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124460480).

642281472 is an abundant number, since it is smaller than the sum of its proper divisors (1606639488).

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

642281472 is a wasteful number, since it uses less digits than its factorization.

642281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 642281472 is about 25343.2727168375. The cubic root of 642281472 is about 862.7966787825.

The spelling of 642281472 in words is "six hundred forty-two million, two hundred eighty-one thousand, four hundred seventy-two".