642784896000 has 1760 divisors, whose sum is σ = 2726379976320. Its totient is φ = 149299200000.

The previous prime is 642784895983. The next prime is 642784896007. The reversal of 642784896000 is 698487246.

642784896000 is a `hidden beast` number, since 6 + 4 + 27 + 8 + 4 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (642784896007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2560895875 + ... + 2560896125.

It is an arithmetic number, because the mean of its divisors is an integer number (1549079532).

Almost surely, 2^642784896000 is an apocalyptic number.

642784896000 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 642784896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363189988160).

642784896000 is an abundant number, since it is smaller than the sum of its proper divisors (2083595080320).

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

642784896000 is a wasteful number, since it uses less digits than its factorization.

642784896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 642784896000 in words is "six hundred forty-two billion, seven hundred eighty-four million, eight hundred ninety-six thousand".