642816000000 has 1050 divisors, whose sum is σ = 2477972656544. Its totient is φ = 165888000000.

The previous prime is 642815999999. The next prime is 642816000061. The reversal of 642816000000 is 618246.

642816000000 is a `hidden beast` number, since 642 + 8 + 16 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 20735999985 + ... + 20736000015.

Almost surely, 2^642816000000 is an apocalyptic number.

642816000000 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 642816000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238986328272).

642816000000 is an abundant number, since it is smaller than the sum of its proper divisors (1835156656544).

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

642816000000 is an frugal number, since it uses more digits than its factorization.

642816000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 642816000000 its reverse (618246), we get a palindrome (642816618246).

The spelling of 642816000000 in words is "six hundred forty-two billion, eight hundred sixteen million", and thus it is an aban number.