4642302712320 has 1920 divisors, whose sum is σ = 20501312832000. Its totient is φ = 964496719872.

The previous prime is 4642302712283. The next prime is 4642302712427. The reversal of 4642302712320 is 232172032464.

4642302712320 is a `hidden beast` number, since 4 + 64 + 2 + 3 + 0 + 271 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7499680971 + ... + 7499681589.

It is an arithmetic number, because the mean of its divisors is an integer number (10677767100).

Almost surely, 2^{4642302712320} is an apocalyptic number.

4642302712320 is a gapful number since it is divisible by the number (40) 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 4642302712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250656416000).

4642302712320 is an abundant number, since it is smaller than the sum of its proper divisors (15859010119680).

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

4642302712320 is a wasteful number, since it uses less digits than its factorization.

4642302712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 4642302712320 its reverse (232172032464), we get a palindrome (4874474744784).

The spelling of 4642302712320 in words is "four trillion, six hundred forty-two billion, three hundred two million, seven hundred twelve thousand, three hundred twenty".