642361272 has 128 divisors (see below), whose sum is σ = 1968883200. Its totient is φ = 170546688.

The previous prime is 642361271. The next prime is 642361277. The reversal of 642361272 is 272163246.

642361272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642361271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167278 + ... + 171074.

It is an arithmetic number, because the mean of its divisors is an integer number (15381900).

Almost surely, 2^642361272 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 642361272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984441600).

642361272 is an abundant number, since it is smaller than the sum of its proper divisors (1326521928).

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

642361272 is a wasteful number, since it uses less digits than its factorization.

642361272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3881 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 642361272 is about 25344.8470502388. The cubic root of 642361272 is about 862.8324099101.

The spelling of 642361272 in words is "six hundred forty-two million, three hundred sixty-one thousand, two hundred seventy-two".