642744032 has 96 divisors (see below), whose sum is σ = 1479389184. Its totient is φ = 269222400.

The previous prime is 642744031. The next prime is 642744059. The reversal of 642744032 is 230447246.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 642744032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642744031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3365057 + ... + 3365247.

It is an arithmetic number, because the mean of its divisors is an integer number (15410304).

Almost surely, 2^642744032 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 642744032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739694592).

642744032 is an abundant number, since it is smaller than the sum of its proper divisors (836645152).

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

642744032 is a wasteful number, since it uses less digits than its factorization.

642744032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 642744032 is about 25352.3969675453. The cubic root of 642744032 is about 863.0037528252.

The spelling of 642744032 in words is "six hundred forty-two million, seven hundred forty-four thousand, thirty-two".