642350304 has 192 divisors, whose sum is σ = 2007996480. Its totient is φ = 199065600.

The previous prime is 642350281. The next prime is 642350311. The reversal of 642350304 is 403053246.

642350304 is a `hidden beast` number, since 6 + 4 + 2 + 350 + 304 = 666.

It is a super-2 number, since 2×642350304² = 825227826097784832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483272 + ... + 1483704.

It is an arithmetic number, because the mean of its divisors is an integer number (10458315).

Almost surely, 2^642350304 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 642350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003998240).

642350304 is an abundant number, since it is smaller than the sum of its proper divisors (1365646176).

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

642350304 is a wasteful number, since it uses less digits than its factorization.

642350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 642350304 is about 25344.6306739712. The cubic root of 642350304 is about 862.8274990703.

The spelling of 642350304 in words is "six hundred forty-two million, three hundred fifty thousand, three hundred four".