4992312320 has 264 divisors, whose sum is σ = 13158590904. Its totient is φ = 1815478272.

The previous prime is 4992312319. The next prime is 4992312331. The reversal of 4992312320 is 232132994.

It can be written as a sum of positive squares in 4 ways, for example, as 1514143744 + 3478168576 = 38912^2 + 58976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68387804 + ... + 68387876.

Almost surely, 2^4992312320 is an apocalyptic number.

4992312320 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 4992312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579295452).

4992312320 is an abundant number, since it is smaller than the sum of its proper divisors (8166278584).

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

4992312320 is a wasteful number, since it uses less digits than its factorization.

4992312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 4992312320 is about 70656.2971008246. The cubic root of 4992312320 is about 1709.0991139434.

The spelling of 4992312320 in words is "four billion, nine hundred ninety-two million, three hundred twelve thousand, three hundred twenty".