642216960 has 528 divisors, whose sum is σ = 2789684352. Its totient is φ = 132710400.

The previous prime is 642216959. The next prime is 642217003. The reversal of 642216960 is 69612246.

642216960 is a `hidden beast` number, since 642 + 2 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548070 + ... + 3548250.

Almost surely, 2^642216960 is an apocalyptic number.

642216960 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 642216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394842176).

642216960 is an abundant number, since it is smaller than the sum of its proper divisors (2147467392).

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

642216960 is a wasteful number, since it uses less digits than its factorization.

642216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 642216960 is about 25341.9999210796. Note that the first 4 decimals coincide. The cubic root of 642216960 is about 862.7677908232.

The spelling of 642216960 in words is "six hundred forty-two million, two hundred sixteen thousand, nine hundred sixty".