642006406224 has 120 divisors (see below), whose sum is σ = 1828420310912. Its totient is φ = 210235772160.

The previous prime is 642006406219. The next prime is 642006406243. The reversal of 642006406224 is 422604600246.

642006406224 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 0 + 640 + 6 + 2 + 2 + 4 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7184829 + ... + 7273635.

Almost surely, 2^642006406224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642006406224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914210155456).

642006406224 is an abundant number, since it is smaller than the sum of its proper divisors (1186413904688).

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

642006406224 is a wasteful number, since it uses less digits than its factorization.

642006406224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89705 (or 89696 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 642006406224 in words is "six hundred forty-two billion, six million, four hundred six thousand, two hundred twenty-four".