642234880 has 80 divisors (see below), whose sum is σ = 1759887360. Its totient is φ = 220188672.

The previous prime is 642234869. The next prime is 642234893. The reversal of 642234880 is 88432246.

642234880 is a nontrivial binomial coefficient, being equal to C(35840, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×642234880² = 824931282177228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 35839.

It is an arithmetic number, because the mean of its divisors is an integer number (21998592).

Almost surely, 2^642234880 is an apocalyptic number.

642234880 is the 35839-th triangular number and also the 17920-th hexagonal number.

642234880 is the 11947-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879943680).

642234880 is an abundant number, since it is smaller than the sum of its proper divisors (1117652480).

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

642234880 is an equidigital number, since it uses as much as digits as its factorization.

642234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35869 (or 35853 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 642234880 is about 25342.3534818690. The cubic root of 642234880 is about 862.7758154504.

The spelling of 642234880 in words is "six hundred forty-two million, two hundred thirty-four thousand, eight hundred eighty".