642466000 has 320 divisors, whose sum is σ = 1880236800. Its totient is φ = 209664000.

The previous prime is 642465973. The next prime is 642466003. The reversal of 642466000 is 664246.

It is a super-2 number, since 2×642466000² = 825525122312000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 642466000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642466003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12121974 + ... + 12122026.

It is an arithmetic number, because the mean of its divisors is an integer number (5875740).

Almost surely, 2^642466000 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 642466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940118400).

642466000 is an abundant number, since it is smaller than the sum of its proper divisors (1237770800).

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

642466000 is a wasteful number, since it uses less digits than its factorization.

642466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 642466000 is about 25346.9130270335. The cubic root of 642466000 is about 862.8792982714.

The spelling of 642466000 in words is "six hundred forty-two million, four hundred sixty-six thousand".