642190239360 has 320 divisors, whose sum is σ = 2295109186920. Its totient is φ = 171121434624.

The previous prime is 642190239283. The next prime is 642190239367. The reversal of 642190239360 is 63932091246.

642190239360 is a `hidden beast` number, since 6 + 42 + 19 + 0 + 239 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 521203139136 + 120987100224 = 721944^2 + 347832^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (642190239367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82784602 + ... + 82792358.

Almost surely, 2^642190239360 is an apocalyptic number.

642190239360 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 642190239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147554593460).

642190239360 is an abundant number, since it is smaller than the sum of its proper divisors (1652918947560).

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

642190239360 is a wasteful number, since it uses less digits than its factorization.

642190239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 642190239360 in words is "six hundred forty-two billion, one hundred ninety million, two hundred thirty-nine thousand, three hundred sixty".