642856302 has 144 divisors (see below), whose sum is σ = 1641747744. Its totient is φ = 181209600.

The previous prime is 642856273. The next prime is 642856307. The reversal of 642856302 is 203658246.

642856302 is a `hidden beast` number, since 642 + 8 + 5 + 6 + 3 + 0 + 2 = 666.

642856302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×642856302² = 826528450042230408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642856307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2053698 + ... + 2054010.

It is an arithmetic number, because the mean of its divisors is an integer number (11401026).

Almost surely, 2^642856302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642856302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820873872).

642856302 is an abundant number, since it is smaller than the sum of its proper divisors (998891442).

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

642856302 is a wasteful number, since it uses less digits than its factorization.

642856302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 642856302 is about 25354.6110599236. The cubic root of 642856302 is about 863.0539977053.

The spelling of 642856302 in words is "six hundred forty-two million, eight hundred fifty-six thousand, three hundred two".