642678240960 has 672 divisors, whose sum is σ = 2643743711232. Its totient is φ = 140201902080.

The previous prime is 642678240947. The next prime is 642678241043. The reversal of 642678240960 is 69042876246.

642678240960 is a `hidden beast` number, since 6 + 42 + 67 + 82 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 642678240897 and 642678240906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45615037 + ... + 45629123.

Almost surely, 2^642678240960 is an apocalyptic number.

642678240960 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 642678240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321871855616).

642678240960 is an abundant number, since it is smaller than the sum of its proper divisors (2001065470272).

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

642678240960 is a wasteful number, since it uses less digits than its factorization.

642678240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14221 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 642678240960 in words is "six hundred forty-two billion, six hundred seventy-eight million, two hundred forty thousand, nine hundred sixty".