642627360 has 144 divisors (see below), whose sum is σ = 2288430144. Its totient is φ = 163908096.

The previous prime is 642627343. The next prime is 642627361. The reversal of 642627360 is 63726246.

It is a happy number.

642627360 is a `hidden beast` number, since 642 + 6 + 2 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642627361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23419 + ... + 42821.

It is an arithmetic number, because the mean of its divisors is an integer number (15891876).

Almost surely, 2^642627360 is an apocalyptic number.

642627360 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 642627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144215072).

642627360 is an abundant number, since it is smaller than the sum of its proper divisors (1645802784).

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

642627360 is a wasteful number, since it uses less digits than its factorization.

642627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19447 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 642627360 is about 25350.0958578069. The cubic root of 642627360 is about 862.9515316911.

The spelling of 642627360 in words is "six hundred forty-two million, six hundred twenty-seven thousand, three hundred sixty".