642610320 has 160 divisors (see below), whose sum is σ = 2219857920. Its totient is φ = 152440320.

The previous prime is 642610307. The next prime is 642610327. The reversal of 642610320 is 23016246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (642610327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121491 + ... + 126669.

It is an arithmetic number, because the mean of its divisors is an integer number (13874112).

Almost surely, 2^642610320 is an apocalyptic number.

642610320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642610320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109928960).

642610320 is an abundant number, since it is smaller than the sum of its proper divisors (1577247600).

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

642610320 is a wasteful number, since it uses less digits than its factorization.

642610320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 642610320 is about 25349.7597621753. The cubic root of 642610320 is about 862.9439042411.

Adding to 642610320 its reverse (23016246), we get a palindrome (665626566).

The spelling of 642610320 in words is "six hundred forty-two million, six hundred ten thousand, three hundred twenty".