642146304 has 224 divisors, whose sum is σ = 1910913120. Its totient is φ = 190840832.

The previous prime is 642146293. The next prime is 642146341. The reversal of 642146304 is 403641246.

It is a super-3 number, since 3×642146304³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 12115942 + ... + 12115994.

Almost surely, 2^642146304 is an apocalyptic number.

642146304 is a gapful number since it is divisible by the number (64) 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 642146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955456560).

642146304 is an abundant number, since it is smaller than the sum of its proper divisors (1268766816).

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

642146304 is a wasteful number, since it uses less digits than its factorization.

642146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 642146304 is about 25340.6058333261. The cubic root of 642146304 is about 862.7361494099.

It can be divided in two parts, 6421 and 46304, that added together give a palindrome (52725).

The spelling of 642146304 in words is "six hundred forty-two million, one hundred forty-six thousand, three hundred four".