4994227600560 has 1920 divisors, whose sum is σ = 20369046297600. Its totient is φ = 1083553873920.

The previous prime is 4994227600559. The next prime is 4994227600589. The reversal of 4994227600560 is 650067224994.

4994227600560 is a `hidden beast` number, since 4 + 9 + 9 + 4 + 2 + 2 + 76 + 0 + 0 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4994227600497 and 4994227600506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45818601786 + ... + 45818601894.

It is an arithmetic number, because the mean of its divisors is an integer number (10608878280).

Almost surely, 2^{4994227600560} is an apocalyptic number.

4994227600560 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 4994227600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184523148800).

4994227600560 is an abundant number, since it is smaller than the sum of its proper divisors (15374818697040).

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

4994227600560 is a wasteful number, since it uses less digits than its factorization.

4994227600560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4994227600560 in words is "four trillion, nine hundred ninety-four billion, two hundred twenty-seven million, six hundred thousand, five hundred sixty".