642771360000 has 3240 divisors, whose sum is σ = 3179650586112. Its totient is φ = 121651200000.

The previous prime is 642771359947. The next prime is 642771360013. The reversal of 642771360000 is 63177246.

642771360000 is a `hidden beast` number, since 6 + 42 + 7 + 7 + 1 + 3 + 600 + 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 (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 20734559985 + ... + 20734560015.

Almost surely, 2^642771360000 is an apocalyptic number.

642771360000 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 642771360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589825293056).

642771360000 is an abundant number, since it is smaller than the sum of its proper divisors (2536879226112).

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

642771360000 is a wasteful number, since it uses less digits than its factorization.

642771360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 642771360000 in words is "six hundred forty-two billion, seven hundred seventy-one million, three hundred sixty thousand".