642216708000 has 1536 divisors, whose sum is σ = 2805807513600. Its totient is φ = 139594752000.

The previous prime is 642216707983. The next prime is 642216708061. The reversal of 642216708000 is 807612246.

642216708000 is a `hidden beast` number, since 642 + 2 + 1 + 6 + 7 + 0 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1570211796 + ... + 1570212204.

It is an arithmetic number, because the mean of its divisors is an integer number (1826697600).

Almost surely, 2^642216708000 is an apocalyptic number.

642216708000 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 642216708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402903756800).

642216708000 is an abundant number, since it is smaller than the sum of its proper divisors (2163590805600).

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

642216708000 is a wasteful number, since it uses less digits than its factorization.

642216708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 642216708000 in words is "six hundred forty-two billion, two hundred sixteen million, seven hundred eight thousand".