4992835338720 has 384 divisors, whose sum is σ = 17732927721600. Its totient is φ = 1311803817984.

The previous prime is 4992835338713. The next prime is 4992835338767. The reversal of 4992835338720 is 278335382994.

4992835338720 is a `hidden beast` number, since 4 + 9 + 9 + 28 + 3 + 533 + 8 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319451866 + ... + 319467494.

It is an arithmetic number, because the mean of its divisors is an integer number (46179499275).

Almost surely, 2^{4992835338720} is an apocalyptic number.

4992835338720 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 4992835338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866463860800).

4992835338720 is an abundant number, since it is smaller than the sum of its proper divisors (12740092382880).

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

4992835338720 is a wasteful number, since it uses less digits than its factorization.

4992835338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739 (or 16725 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4992835338720 in words is "four trillion, nine hundred ninety-two billion, eight hundred thirty-five million, three hundred thirty-eight thousand, seven hundred twenty".