4993376296320 has 288 divisors, whose sum is σ = 17816932607760. Its totient is φ = 1288611809280.

The previous prime is 4993376296291. The next prime is 4993376296333. The reversal of 4993376296320 is 236926733994.

4993376296320 is a `hidden beast` number, since 4 + 9 + 9 + 337 + 6 + 296 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5084317 + ... + 5986403.

Almost surely, 2^{4993376296320} is an apocalyptic number.

4993376296320 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 4993376296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908466303880).

4993376296320 is an abundant number, since it is smaller than the sum of its proper divisors (12823556311440).

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

4993376296320 is a wasteful number, since it uses less digits than its factorization.

4993376296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902174 (or 902128 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 4993376296320 in words is "four trillion, nine hundred ninety-three billion, three hundred seventy-six million, two hundred ninety-six thousand, three hundred twenty".