642027680 has 96 divisors (see below), whose sum is σ = 1740735360. Its totient is φ = 219202560.

The previous prime is 642027679. The next prime is 642027697. The reversal of 642027680 is 86720246.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 642027680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300215 + ... + 302345.

It is an arithmetic number, because the mean of its divisors is an integer number (18132660).

Almost surely, 2^642027680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870367680).

642027680 is an abundant number, since it is smaller than the sum of its proper divisors (1098707680).

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

642027680 is a wasteful number, since it uses less digits than its factorization.

642027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 642027680 is about 25338.2651339826. The cubic root of 642027680 is about 862.6830215817.

The spelling of 642027680 in words is "six hundred forty-two million, twenty-seven thousand, six hundred eighty".