642486240 has 288 divisors, whose sum is σ = 2445520896. Its totient is φ = 152263680.

The previous prime is 642486227. The next prime is 642486281. The reversal of 642486240 is 42684246.

It is a happy number.

642486240 is a `hidden beast` number, since 6 + 4 + 24 + 8 + 624 + 0 = 666.

642486240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 642486195 and 642486204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744049 + ... + 744911.

It is an arithmetic number, because the mean of its divisors is an integer number (8491392).

Almost surely, 2^642486240 is an apocalyptic number.

642486240 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 642486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222760448).

642486240 is an abundant number, since it is smaller than the sum of its proper divisors (1803034656).

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

642486240 is a wasteful number, since it uses less digits than its factorization.

642486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 642486240 is about 25347.3122835539. The cubic root of 642486240 is about 862.8883594480. Note that the first 3 decimals are identical.

The spelling of 642486240 in words is "six hundred forty-two million, four hundred eighty-six thousand, two hundred forty".