642673200 has 180 divisors, whose sum is σ = 2229942840. Its totient is φ = 158146560.

The previous prime is 642673139. The next prime is 642673243. The reversal of 642673200 is 2376246.

It is a Cunningham number, because it is equal to 25351²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 201216 + ... + 204384.

Almost surely, 2^642673200 is an apocalyptic number.

642673200 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 642673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114971420).

642673200 is an abundant number, since it is smaller than the sum of its proper divisors (1587269640).

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

642673200 is a wasteful number, since it uses less digits than its factorization.

642673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 642673200 is about 25350.9999802769. Note that the first 4 decimals coincide. The cubic root of 642673200 is about 862.9720499365.

The spelling of 642673200 in words is "six hundred forty-two million, six hundred seventy-three thousand, two hundred".