642004272 has 240 divisors, whose sum is σ = 2309539680. Its totient is φ = 169247232.

The previous prime is 642004261. The next prime is 642004273. The reversal of 642004272 is 272400246.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (642004273) 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 47 ways as a sum of consecutive naturals, for example, 274018 + ... + 276350.

It is an arithmetic number, because the mean of its divisors is an integer number (9623082).

Almost surely, 2^642004272 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 642004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154769840).

642004272 is an abundant number, since it is smaller than the sum of its proper divisors (1667535408).

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

642004272 is a wasteful number, since it uses less digits than its factorization.

642004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 642004272 is about 25337.8032196953. The cubic root of 642004272 is about 862.6725371275.

The spelling of 642004272 in words is "six hundred forty-two million, four thousand, two hundred seventy-two".